Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024n |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
320614694912 = 221 · 172 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2209,-29985] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:23:1] |
Generators of the group modulo torsion |
j |
4549540393/1223048 |
j-invariant |
L |
3.2062371302701 |
L(r)(E,1)/r! |
Ω |
0.71035779261831 |
Real period |
R |
2.2567762074181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25024c2 6256f2 |
Quadratic twists by: -4 8 |