Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15904c |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4276776448 = 29 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-643,5430] |
[a1,a2,a3,a4,a6] |
j |
57423104712/8353079 |
j-invariant |
L |
3.9836910358273 |
L(r)(E,1)/r! |
Ω |
1.3278970119424 |
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 |
15904g2 31808h2 111328f2 |
Quadratic twists by: -4 8 -7 |