Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25792bc |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-5364736 = -1 · 210 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -2 -3 3 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,111] |
[a1,a2,a3,a4,a6] |
Generators |
[2:13:1] |
Generators of the group modulo torsion |
j |
1257728/5239 |
j-invariant |
L |
2.9059629046409 |
L(r)(E,1)/r! |
Ω |
1.724401980937 |
Real period |
R |
0.84260019901559 |
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 |
25792e1 6448m1 |
Quadratic twists by: -4 8 |