Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
124600r |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
1090250000000000 = 210 · 512 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28008,-864512] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:350:1] |
Generators of the group modulo torsion |
j |
151867739524/68140625 |
j-invariant |
L |
3.8360573378649 |
L(r)(E,1)/r! |
Ω |
0.38484625305154 |
Real period |
R |
2.4919414279466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000136568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24920b1 |
Quadratic twists by: 5 |