Atkin-Lehner |
13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12337a |
Isogeny class |
Conductor |
12337 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
352357057 = 136 · 73 |
Discriminant |
Eigenvalues |
-1 0 -2 -2 2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,-568] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:7:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
1.8112010268869 |
L(r)(E,1)/r! |
Ω |
1.3120439864932 |
Real period |
R |
2.7608846129129 |
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 |
111033d1 73a2 |
Quadratic twists by: -3 13 |