Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696j |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
-39818423757104 = -1 · 24 · 597 |
Discriminant |
Eigenvalues |
2+ 3 -1 -3 -4 -6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6962,205379] |
[a1,a2,a3,a4,a6] |
j |
55296/59 |
j-invariant |
L |
0.85602621812827 |
L(r)(E,1)/r! |
Ω |
0.42801310941119 |
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 |
27848k1 944d1 |
Quadratic twists by: -4 -59 |