Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952bd |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
-1262132231843671344 = -1 · 24 · 39 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-719151,-241117902] |
[a1,a2,a3,a4,a6] |
j |
-3151503407104/96702579 |
j-invariant |
L |
4.4184889166142 |
L(r)(E,1)/r! |
Ω |
0.081823868748489 |
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 |
68952m1 |
Quadratic twists by: 13 |