Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640o |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
788655360000000 = 214 · 3 · 57 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53285,-4519683] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:295:1] |
Generators of the group modulo torsion |
j |
1021237687573504/48135703125 |
j-invariant |
L |
5.1069864179318 |
L(r)(E,1)/r! |
Ω |
0.31514776720839 |
Real period |
R |
0.77166921275297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cw1 7080d1 |
Quadratic twists by: -4 8 |