Atkin-Lehner |
2- 3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15276a |
Isogeny class |
Conductor |
15276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4513874688 = 28 · 36 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128988,17787924] |
[a1,a2,a3,a4,a6] |
j |
927118058834914000/17632323 |
j-invariant |
L |
2.9692533126051 |
L(r)(E,1)/r! |
Ω |
0.98975110420169 |
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 |
61104o2 45828e2 |
Quadratic twists by: -4 -3 |