Atkin-Lehner |
2+ 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592a |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-2096436722688 = -1 · 210 · 35 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,912,-69156] |
[a1,a2,a3,a4,a6] |
j |
81833661500/2047301487 |
j-invariant |
L |
0.79933856541309 |
L(r)(E,1)/r! |
Ω |
0.39966928325081 |
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 |
107184be1 |
Quadratic twists by: -4 |