Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426x |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
2429232475456512 = 210 · 35 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43265,-2542849] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:1024:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
4.0614612663601 |
L(r)(E,1)/r! |
Ω |
0.33775840499412 |
Real period |
R |
1.2024752620566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66c1 |
Quadratic twists by: -31 |