Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800a |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
8281000000 = 26 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1525,22500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:150:1] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
5.2099670373854 |
L(r)(E,1)/r! |
Ω |
1.3087484713848 |
Real period |
R |
1.9904386329609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001612 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72800bn1 2912e1 |
Quadratic twists by: -4 5 |