Atkin-Lehner |
2+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2368g |
Isogeny class |
Conductor |
2368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
2368 = 26 · 37 |
Discriminant |
Eigenvalues |
2+ 3 2 -1 5 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,2] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
4.2333898159042 |
L(r)(E,1)/r! |
Ω |
4.2333898159042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2368q1 37a1 21312x1 59200u1 |
Quadratic twists by: -4 8 -3 5 |