Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bu |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
2003948100000000 = 28 · 37 · 58 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35154,1349460] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1302:1] [-882:16191:8] |
Generators of the group modulo torsion |
j |
6590636786811169/2748900000000 |
j-invariant |
L |
9.9228207821251 |
L(r)(E,1)/r! |
Ω |
0.42164405177734 |
Real period |
R |
0.73542635871199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270co1 |
Quadratic twists by: -3 |