Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650cb |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-46473750000 = -1 · 24 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,897] |
[a1,a2,a3,a4,a6] |
j |
6967871/4080 |
j-invariant |
L |
2.7481009754861 |
L(r)(E,1)/r! |
Ω |
0.68702524387153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61200fg1 2550a1 1530e1 |
Quadratic twists by: -4 -3 5 |