Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cm |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-112081895424 = -1 · 217 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,18337] |
[a1,a2,a3,a4,a6] |
j |
-384200066/855117 |
j-invariant |
L |
3.7412191311628 |
L(r)(E,1)/r! |
Ω |
0.93530479020626 |
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 |
75072bs1 18768f1 |
Quadratic twists by: -4 8 |