Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025i |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
25664765625 = 33 · 57 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-755,-1878] |
[a1,a2,a3,a4,a6] |
j |
9261/5 |
j-invariant |
L |
1.9406584228291 |
L(r)(E,1)/r! |
Ω |
0.97032926655042 |
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 |
119025g1 23805a1 119025h1 |
Quadratic twists by: -3 5 -23 |