Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222z |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23396352 |
Modular degree for the optimal curve |
Δ |
4.997590299762E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77483844,-260289446576] |
[a1,a2,a3,a4,a6] |
Generators |
[241510025:-23477925349:15625] |
Generators of the group modulo torsion |
j |
595099203230897/5780865024 |
j-invariant |
L |
2.8654961212382 |
L(r)(E,1)/r! |
Ω |
0.050915670026297 |
Real period |
R |
14.069814458225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074q1 57222m1 |
Quadratic twists by: -3 17 |