Atkin-Lehner |
3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15219h |
Isogeny class |
Conductor |
15219 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-11094651 = -1 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
-1 3- 1 0 -3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,182] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] [6:10:1] |
Generators of the group modulo torsion |
j |
-4826809/15219 |
j-invariant |
L |
4.7034159552425 |
L(r)(E,1)/r! |
Ω |
1.9959603141189 |
Real period |
R |
0.58911691805337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073f1 |
Quadratic twists by: -3 |