Atkin-Lehner |
2- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13202j |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
67968 |
Modular degree for the optimal curve |
Δ |
-997726455857152 = -1 · 218 · 74 · 23 · 413 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24662,297636] |
[a1,a2,a3,a4,a6] |
j |
1658851431008609375/997726455857152 |
j-invariant |
L |
1.8164702159358 |
L(r)(E,1)/r! |
Ω |
0.30274503598931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
105616p1 118818t1 92414u1 |
Quadratic twists by: -4 -3 -7 |