Atkin-Lehner |
5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2275h |
Isogeny class |
Conductor |
2275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
248828125 = 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 4 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,943] |
[a1,a2,a3,a4,a6] |
j |
2560000/637 |
j-invariant |
L |
3.2886699857374 |
L(r)(E,1)/r! |
Ω |
1.6443349928687 |
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 |
36400cl1 20475bj1 2275b1 15925w1 |
Quadratic twists by: -4 -3 5 -7 |