Atkin-Lehner |
2+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614m |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5058144 |
Modular degree for the optimal curve |
Δ |
-4.2599101613736E+20 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 2 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-737688,1022220230] |
[a1,a2,a3,a4,a6] |
j |
-4186514673613/40170780454 |
j-invariant |
L |
6.0117156120998 |
L(r)(E,1)/r! |
Ω |
0.14313608596845 |
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 |
68614v1 |
Quadratic twists by: 13 |