Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488j |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
747739824128 = 214 · 112 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125608,-17092752] |
[a1,a2,a3,a4,a6] |
Generators |
[682898849556:4270376224512:1597509809] |
Generators of the group modulo torsion |
j |
53508049906515625/182553668 |
j-invariant |
L |
9.557307866687 |
L(r)(E,1)/r! |
Ω |
0.25359753644303 |
Real period |
R |
18.843455674474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15686d1 |
Quadratic twists by: -4 |