Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840b |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
17834658899200 = 28 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11- 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106036,13253260] |
[a1,a2,a3,a4,a6] |
Generators |
[186:4:1] [282:2420:1] |
Generators of the group modulo torsion |
j |
2402737744/325 |
j-invariant |
L |
12.398784899547 |
L(r)(E,1)/r! |
Ω |
0.66597018550548 |
Real period |
R |
1.5514689662831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920b1 125840k1 |
Quadratic twists by: -4 -11 |