Atkin-Lehner |
2- 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874f |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
387684 = 22 · 32 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24,-36] |
[a1,a2,a3,a4,a6] |
j |
1532808577/387684 |
j-invariant |
L |
4.3932832256293 |
L(r)(E,1)/r! |
Ω |
2.1966416128147 |
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 |
46992h1 17622f1 64614i1 |
Quadratic twists by: -4 -3 -11 |