Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880bm |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
62521344000 = 220 · 32 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8705,-315297] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:15:1] |
Generators of the group modulo torsion |
j |
278317173889/238500 |
j-invariant |
L |
5.6510379110056 |
L(r)(E,1)/r! |
Ω |
0.49428285356111 |
Real period |
R |
1.9054669710871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880cr1 1590m1 |
Quadratic twists by: -4 8 |