Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800h |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3185000000 = 26 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425,-2000] |
[a1,a2,a3,a4,a6] |
j |
8489664/3185 |
j-invariant |
L |
2.1699248096424 |
L(r)(E,1)/r! |
Ω |
1.0849624033543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800r1 14560q1 |
Quadratic twists by: -4 5 |