Atkin-Lehner |
2+ 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8094b |
Isogeny class |
Conductor |
8094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-922716 = -1 · 22 · 32 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37,-100] |
[a1,a2,a3,a4,a6] |
j |
-5386984777/922716 |
j-invariant |
L |
1.924060511672 |
L(r)(E,1)/r! |
Ω |
0.96203025583598 |
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 |
64752h1 24282k1 |
Quadratic twists by: -4 -3 |