Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58608x |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18282833619038208 = 212 · 39 · 112 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137835,18591066] |
[a1,a2,a3,a4,a6] |
Generators |
[2247:105138:1] |
Generators of the group modulo torsion |
j |
3592121380875/226773481 |
j-invariant |
L |
6.3942750134214 |
L(r)(E,1)/r! |
Ω |
0.38091634507355 |
Real period |
R |
4.1966399551443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3663a2 58608u2 |
Quadratic twists by: -4 -3 |