Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712s |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
123031712764368 = 24 · 34 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12777,-151452] |
[a1,a2,a3,a4,a6] |
j |
5619712/2997 |
j-invariant |
L |
4.2955742561571 |
L(r)(E,1)/r! |
Ω |
0.477286028916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16428d1 1776e1 |
Quadratic twists by: -4 37 |