Atkin-Lehner |
2+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47120d |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18688 |
Modular degree for the optimal curve |
Δ |
-6031360 = -1 · 211 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 4 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,6096] |
[a1,a2,a3,a4,a6] |
j |
-12642726098/2945 |
j-invariant |
L |
4.6580516406091 |
L(r)(E,1)/r! |
Ω |
2.3290258200437 |
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 |
23560a1 |
Quadratic twists by: -4 |