Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bb |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-7.168641576148E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 1 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1147792,1198459588] |
[a1,a2,a3,a4,a6] |
j |
86614940/371293 |
j-invariant |
L |
0.91843188272938 |
L(r)(E,1)/r! |
Ω |
0.11480398457846 |
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 |
33800bb1 67600n1 5200l1 |
Quadratic twists by: -4 5 13 |