Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240l |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
7860800 = 26 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130,600] |
[a1,a2,a3,a4,a6] |
j |
778688/25 |
j-invariant |
L |
4.651660297709 |
L(r)(E,1)/r! |
Ω |
2.3258301489732 |
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 |
46240bg1 92480bb1 46240b1 |
Quadratic twists by: -4 8 17 |