Atkin-Lehner |
3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19095c |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-3838095 = -1 · 32 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65,-250] |
[a1,a2,a3,a4,a6] |
j |
-30400540561/3838095 |
j-invariant |
L |
0.83474119203148 |
L(r)(E,1)/r! |
Ω |
0.83474119203148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57285a1 95475j1 |
Quadratic twists by: -3 5 |