Atkin-Lehner |
2- 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5658i |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4368 |
Modular degree for the optimal curve |
Δ |
-8328576 = -1 · 27 · 3 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 2 4 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5212,-145264] |
[a1,a2,a3,a4,a6] |
j |
-15658211002295233/8328576 |
j-invariant |
L |
3.933200132172 |
L(r)(E,1)/r! |
Ω |
0.28094286658372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45264h1 16974d1 |
Quadratic twists by: -4 -3 |