Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330bk |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
-369315348480000 = -1 · 219 · 33 · 54 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25224,-1799978] |
[a1,a2,a3,a4,a6] |
j |
-807812888583637/168099840000 |
j-invariant |
L |
2.2478962619168 |
L(r)(E,1)/r! |
Ω |
0.18732469172957 |
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 |
96330dm1 |
Quadratic twists by: 13 |