Atkin-Lehner |
2- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
58960i |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-61182556160000000 = -1 · 217 · 57 · 113 · 672 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11+ 2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-350416,80839616] |
[a1,a2,a3,a4,a6] |
Generators |
[280:-2144:1] |
Generators of the group modulo torsion |
j |
-1161760983451591249/14937147500000 |
j-invariant |
L |
3.730319960713 |
L(r)(E,1)/r! |
Ω |
0.35172802952181 |
Real period |
R |
1.3257117884648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370c1 |
Quadratic twists by: -4 |