Atkin-Lehner |
2- 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832v |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-35449399375036416 = -1 · 222 · 32 · 73 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63328,-6686976] |
[a1,a2,a3,a4,a6] |
j |
6857159064725087/8654638519296 |
j-invariant |
L |
0.78492244113996 |
L(r)(E,1)/r! |
Ω |
0.19623060981818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854t1 |
Quadratic twists by: -4 |