Atkin-Lehner |
3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
19095b |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1814025 = 3 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111,-492] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
151334226289/1814025 |
j-invariant |
L |
2.1265144846718 |
L(r)(E,1)/r! |
Ω |
1.4718487436827 |
Real period |
R |
1.4447914527895 |
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 |
57285f1 95475l1 |
Quadratic twists by: -3 5 |