Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152r |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-4788900144 = -1 · 24 · 38 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,366,1955] |
[a1,a2,a3,a4,a6] |
Generators |
[15055:167384:125] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
5.4879300724465 |
L(r)(E,1)/r! |
Ω |
0.89248250930184 |
Real period |
R |
6.1490617633947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576z1 76608dz1 6384c1 |
Quadratic twists by: -4 8 -3 |