Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72864g |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
12443176475136 = 29 · 38 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11+ 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6051,63398] |
[a1,a2,a3,a4,a6] |
j |
65645911304/33337557 |
j-invariant |
L |
2.514921375868 |
L(r)(E,1)/r! |
Ω |
0.62873034366203 |
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 |
72864p1 24288m1 |
Quadratic twists by: -4 -3 |