Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dt |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1496614732800 = -1 · 210 · 3 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10688,425808] |
[a1,a2,a3,a4,a6] |
j |
-2977540/33 |
j-invariant |
L |
3.4108797202005 |
L(r)(E,1)/r! |
Ω |
0.85271993015351 |
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 |
72600v1 6600o1 |
Quadratic twists by: 5 -11 |