Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432be |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147087360 |
Modular degree for the optimal curve |
Δ |
-2.3383696313154E+30 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2154877524,-83037151801764] |
[a1,a2,a3,a4,a6] |
Generators |
[1072093966086457790579406921416384329025831558493934596331301486555694080651271998529639349102371754575357699438030579842508981436143489583673262113720912107878382678392705861527239769513992701387671432778209338795:293487679907521356912194794593719969306712746131767666638412530189115135063737986206368819715598952108210508772039233901532730473542139569843911901336398269480781461125310357612422221667894857867331050682565959220086:10357451955887815090271145037160191609247849055725923018800196617198719104015491793456249788220318439629970762619324100292899822280857999129125606023231473210406837050965673597444364811406546347015721445996471] |
Generators of the group modulo torsion |
j |
-36742041300293123413614928/77639898106449639295461 |
j-invariant |
L |
6.8396228729271 |
L(r)(E,1)/r! |
Ω |
0.010388658321015 |
Real period |
R |
329.18701633931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108j1 13776bb1 |
Quadratic twists by: -4 -7 |