Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162be |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-20059326 = -1 · 2 · 34 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 4 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112,-514] |
[a1,a2,a3,a4,a6] |
j |
-430638553/55566 |
j-invariant |
L |
2.9139877888441 |
L(r)(E,1)/r! |
Ω |
0.72849694721101 |
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 |
121296ck1 45486m1 106134cg1 15162c1 |
Quadratic twists by: -4 -3 -7 -19 |