Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bi |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3185000000 = 26 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-658,5688] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:100:1] [-7:100:1] |
Generators of the group modulo torsion |
j |
31554496/3185 |
j-invariant |
L |
7.1566960760292 |
L(r)(E,1)/r! |
Ω |
1.3770405821278 |
Real period |
R |
1.2992892455195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800m1 14560c1 |
Quadratic twists by: -4 5 |