Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200ck |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
7188232480000 = 28 · 54 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10933,-424337] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:130:1] |
Generators of the group modulo torsion |
j |
903361331200/44926453 |
j-invariant |
L |
7.9942546592558 |
L(r)(E,1)/r! |
Ω |
0.46832804320073 |
Real period |
R |
0.28449626195012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300j1 57200bp1 |
Quadratic twists by: -4 5 |