Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208y |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-13265160048 = -1 · 24 · 35 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,1931] |
[a1,a2,a3,a4,a6] |
j |
10976000/7047 |
j-invariant |
L |
3.9238590590391 |
L(r)(E,1)/r! |
Ω |
0.78477181486101 |
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 |
34104i1 1392c1 |
Quadratic twists by: -4 -7 |