Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812c |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
5539741277617872 = 24 · 38 · 137 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-611329,-183737282] |
[a1,a2,a3,a4,a6] |
j |
327166871093248/71731413 |
j-invariant |
L |
0.3414809334551 |
L(r)(E,1)/r! |
Ω |
0.17074046500658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524a1 |
Quadratic twists by: 13 |