Atkin-Lehner |
3- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
14193b |
Isogeny class |
Conductor |
14193 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-310018082211 = -1 · 38 · 193 · 832 |
Discriminant |
Eigenvalues |
2 3- 1 -1 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-687,-27671] |
[a1,a2,a3,a4,a6] |
j |
-49188818944/425264859 |
j-invariant |
L |
4.9087350088635 |
L(r)(E,1)/r! |
Ω |
0.40906125073862 |
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 |
4731b1 |
Quadratic twists by: -3 |