Atkin-Lehner |
2- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512q |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-27993539526656 = -1 · 214 · 115 · 1032 |
Discriminant |
Eigenvalues |
2- -1 1 4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5195,208109] |
[a1,a2,a3,a4,a6] |
j |
946186674176/1708590059 |
j-invariant |
L |
0.91386760151596 |
L(r)(E,1)/r! |
Ω |
0.45693382720825 |
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 |
72512j1 18128c1 |
Quadratic twists by: -4 8 |