Atkin-Lehner |
5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12425d |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-68919921875 = -1 · 59 · 7 · 712 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ -5 3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,342,-12281] |
[a1,a2,a3,a4,a6] |
j |
282300416/4410875 |
j-invariant |
L |
4.2889144410192 |
L(r)(E,1)/r! |
Ω |
0.5361143051274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111825k1 2485b1 86975u1 |
Quadratic twists by: -3 5 -7 |