Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400bl |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
10551296000000 = 222 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5608,-43212] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:150:1] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
4.7522720451548 |
L(r)(E,1)/r! |
Ω |
0.58789715828343 |
Real period |
R |
2.0208772818934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050i1 2576p1 |
Quadratic twists by: -4 5 |