Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5290a |
Isogeny class |
Conductor |
5290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-3915549264050 = -1 · 2 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11914,508486] |
[a1,a2,a3,a4,a6] |
j |
-2387929/50 |
j-invariant |
L |
0.52248363247291 |
L(r)(E,1)/r! |
Ω |
0.78372544870937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42320n1 47610cm1 26450p1 5290c1 |
Quadratic twists by: -4 -3 5 -23 |