Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712q |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4091904 |
Modular degree for the optimal curve |
Δ |
-2.4164829964194E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -2 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1401400,-7452270096] |
[a1,a2,a3,a4,a6] |
j |
21156119/1679616 |
j-invariant |
L |
0.9118086119966 |
L(r)(E,1)/r! |
Ω |
0.056988038529188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214e1 65712r1 |
Quadratic twists by: -4 37 |