Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760a |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
161000000 = 26 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173,-628] |
[a1,a2,a3,a4,a6] |
j |
8947094976/2515625 |
j-invariant |
L |
1.3444365848679 |
L(r)(E,1)/r! |
Ω |
1.3444365848681 |
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 |
25760g1 51520ba2 128800ba1 |
Quadratic twists by: -4 8 5 |