Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320q |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
1545480000 = 26 · 36 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397497,-96460364] |
[a1,a2,a3,a4,a6] |
j |
148873629225439936/33125 |
j-invariant |
L |
3.0421882057049 |
L(r)(E,1)/r! |
Ω |
0.19013676077163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bu1 8480d1 |
Quadratic twists by: -4 -3 |