Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136i |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-4898816 = -1 · 214 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -3 0 5 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64,-224] |
[a1,a2,a3,a4,a6] |
j |
-1769472/299 |
j-invariant |
L |
0.83623555377543 |
L(r)(E,1)/r! |
Ω |
0.83623555377543 |
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 |
19136s1 1196b1 |
Quadratic twists by: -4 8 |