Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cc |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
69136555917409344 = 26 · 38 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-447974,-114859704] |
[a1,a2,a3,a4,a6] |
Generators |
[-404:588:1] |
Generators of the group modulo torsion |
j |
1320428512222912/9182047329 |
j-invariant |
L |
6.5784109645871 |
L(r)(E,1)/r! |
Ω |
0.18461554873377 |
Real period |
R |
2.2270642321268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152bl1 122304ff2 8736s1 |
Quadratic twists by: -4 8 -7 |