Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550d |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
108380160 |
Modular degree for the optimal curve |
Δ |
-3.8923336022524E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2537070500,-50095200510000] |
[a1,a2,a3,a4,a6] |
Generators |
[64552867628884197084344356461400:10965520513446601955717475904490100:883034834549489754217672231] |
Generators of the group modulo torsion |
j |
-115584950942853977541113570881/2491093505441506976133120 |
j-invariant |
L |
3.8813014325924 |
L(r)(E,1)/r! |
Ω |
0.01062263690206 |
Real period |
R |
45.672527786386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bp1 |
Quadratic twists by: 5 |