Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120s |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-37282613916279600 = -1 · 24 · 314 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70422,5879027] |
[a1,a2,a3,a4,a6] |
Generators |
[-4796:27225:64] |
Generators of the group modulo torsion |
j |
1869154304/1804275 |
j-invariant |
L |
6.8461296312478 |
L(r)(E,1)/r! |
Ω |
0.23990859515296 |
Real period |
R |
3.5670510393903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560bq1 29040n1 7920c1 |
Quadratic twists by: -4 -3 -11 |