Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816l |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2433198552642304 = -1 · 28 · 19 · 298 |
Discriminant |
Eigenvalues |
2- -2 -1 3 3 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133301,-18926849] |
[a1,a2,a3,a4,a6] |
j |
-1023262896933044224/9504681846259 |
j-invariant |
L |
1.997746091513 |
L(r)(E,1)/r! |
Ω |
0.12485913071956 |
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 |
2204b1 35264w1 79344bs1 |
Quadratic twists by: -4 8 -3 |