Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19296b |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
45238777344 = 29 · 39 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,-270] |
[a1,a2,a3,a4,a6] |
j |
7762392/4489 |
j-invariant |
L |
0.9565548143216 |
L(r)(E,1)/r! |
Ω |
0.9565548143216 |
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 |
19296j2 38592a2 19296k2 |
Quadratic twists by: -4 8 -3 |