Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350by |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16805,-834803] |
[a1,a2,a3,a4,a6] |
Generators |
[569:12890:1] |
Generators of the group modulo torsion |
j |
-1843009065/1328 |
j-invariant |
L |
9.5632817587268 |
L(r)(E,1)/r! |
Ω |
0.20964918635538 |
Real period |
R |
3.8013033125237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150g1 37350k1 |
Quadratic twists by: -3 5 |