Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30682f |
Isogeny class |
Conductor |
30682 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-14578122752 = -1 · 215 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,357,-5167] |
[a1,a2,a3,a4,a6] |
Generators |
[94:881:1] |
Generators of the group modulo torsion |
j |
9510353375/27557888 |
j-invariant |
L |
9.2622080790117 |
L(r)(E,1)/r! |
Ω |
0.64081263356373 |
Real period |
R |
0.48179491653184 |
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 |
30682e1 |
Quadratic twists by: -23 |