Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960z |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
233235676800000 = 210 · 39 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772427,-908239754] |
[a1,a2,a3,a4,a6] |
Generators |
[2175:74336:1] |
Generators of the group modulo torsion |
j |
824899990643380516/312440625 |
j-invariant |
L |
7.0393810454212 |
L(r)(E,1)/r! |
Ω |
0.13084510355779 |
Real period |
R |
5.3799346356122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bh1 19320w1 |
Quadratic twists by: -4 -3 |