Atkin-Lehner |
2+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650g |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1646144000000000000 = 218 · 512 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-651750,192612500] |
[a1,a2,a3,a4,a6] |
j |
1959511636224758881/105353216000000 |
j-invariant |
L |
4.2027013788138 |
L(r)(E,1)/r! |
Ω |
0.26266883515591 |
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 |
15130l1 |
Quadratic twists by: 5 |