Atkin-Lehner |
2+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024b |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
909392684032 = 210 · 73 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4315,-98982] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:84:1] [-29:42:1] |
Generators of the group modulo torsion |
j |
8676931234500/888078793 |
j-invariant |
L |
9.591779463268 |
L(r)(E,1)/r! |
Ω |
0.59294332636122 |
Real period |
R |
2.6960922561636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29512a1 |
Quadratic twists by: -4 |