Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312cm |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2363266368 = 26 · 36 · 373 |
Discriminant |
Eigenvalues |
2- 3- 4 3 3 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2358,44010] |
[a1,a2,a3,a4,a6] |
j |
31077609984/50653 |
j-invariant |
L |
4.3595366669374 |
L(r)(E,1)/r! |
Ω |
1.4531788889791 |
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 |
21312cn1 10656g1 2368p1 |
Quadratic twists by: -4 8 -3 |