Atkin-Lehner |
2- 3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510bh |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
231612459156000000 = 28 · 39 · 56 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-533952000032,-150176180299543869] |
[a1,a2,a3,a4,a6] |
j |
23094195428162397250238755249156826809/317712564000000 |
j-invariant |
L |
2.1446446464584 |
L(r)(E,1)/r! |
Ω |
0.0055850105815295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40170a4 |
Quadratic twists by: -3 |