Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
96408n |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6747017472 = 28 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12015,506898] |
[a1,a2,a3,a4,a6] |
j |
38068326000/1339 |
j-invariant |
L |
2.4912163390289 |
L(r)(E,1)/r! |
Ω |
1.2456081538867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96408c1 |
Quadratic twists by: -3 |