Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872bx |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
779216621568 = 212 · 3 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26672,1684992] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
1.7606760228146 |
L(r)(E,1)/r! |
Ω |
0.88033801140743 |
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 |
1617g1 103488hy1 77616fk1 3696w1 |
Quadratic twists by: -4 8 -3 -7 |