Atkin-Lehner |
3- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
46431d |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
259288487073 = 37 · 74 · 11 · 672 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15057,-706968] |
[a1,a2,a3,a4,a6] |
Generators |
[29574:1782153:8] |
Generators of the group modulo torsion |
j |
517878354372625/355676937 |
j-invariant |
L |
5.5336281216888 |
L(r)(E,1)/r! |
Ω |
0.4310041919668 |
Real period |
R |
6.41945974635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15477d1 |
Quadratic twists by: -3 |