Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075l |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-415209609375 = -1 · 3 · 57 · 116 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-31008] |
[a1,a2,a3,a4,a6] |
Generators |
[62211:2955235:27] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
3.2501924320983 |
L(r)(E,1)/r! |
Ω |
0.43047451464771 |
Real period |
R |
7.5502551754038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27225bi1 1815a1 75b1 |
Quadratic twists by: -3 5 -11 |