Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275f |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-6960906982421875 = -1 · 516 · 74 · 19 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 5 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-248675,47899031] |
[a1,a2,a3,a4,a6] |
j |
-45332315836416/185546875 |
j-invariant |
L |
5.0656178297745 |
L(r)(E,1)/r! |
Ω |
0.42213481914788 |
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 |
4655n1 23275p1 |
Quadratic twists by: 5 -7 |