Atkin-Lehner |
19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25631f |
Isogeny class |
Conductor |
25631 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1116 |
Modular degree for the optimal curve |
Δ |
-25631 = -1 · 192 · 71 |
Discriminant |
Eigenvalues |
1 -1 1 2 4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7,8] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-130321/71 |
j-invariant |
L |
5.7566744254982 |
L(r)(E,1)/r! |
Ω |
3.5017255919911 |
Real period |
R |
1.6439536092333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25631a1 |
Quadratic twists by: -19 |