Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150l |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-8784000000 = -1 · 210 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-801,9748] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
4.3416883509663 |
L(r)(E,1)/r! |
Ω |
1.2575505844021 |
Real period |
R |
0.86312399771788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200bt1 27450bv1 366g1 |
Quadratic twists by: -4 -3 5 |