Atkin-Lehner |
2- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216m |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179066880 |
Modular degree for the optimal curve |
Δ |
-1.4423317751219E+31 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 -1 -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11962996,-182721945468144] |
[a1,a2,a3,a4,a6] |
j |
722276795807077313223/55020590786814305709850624 |
j-invariant |
L |
0.24478047841425 |
L(r)(E,1)/r! |
Ω |
0.010199180661674 |
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 |
113216g1 28304b1 |
Quadratic twists by: -4 8 |