Atkin-Lehner |
2+ 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470q |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
873402393600000000 = 216 · 34 · 58 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28320003,58005643006] |
[a1,a2,a3,a4,a6] |
j |
2511907109678953991971051561/873402393600000000 |
j-invariant |
L |
3.6296737144293 |
L(r)(E,1)/r! |
Ω |
0.22685460715183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58410bb2 97350bw2 |
Quadratic twists by: -3 5 |