Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650cl |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
9410934375000 = 23 · 311 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 1 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9680,337947] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
4.2538528969755 |
L(r)(E,1)/r! |
Ω |
0.70897548282926 |
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 |
61200ha1 2550g1 7650bb1 |
Quadratic twists by: -4 -3 5 |