Atkin-Lehner |
2- 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328p |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
199878463488 = 212 · 3 · 115 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 5 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1717,17533] |
[a1,a2,a3,a4,a6] |
j |
136750071808/48798453 |
j-invariant |
L |
4.6035112055053 |
L(r)(E,1)/r! |
Ω |
0.92070224110684 |
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 |
3333e1 |
Quadratic twists by: -4 |