Atkin-Lehner |
2- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
3502a |
Isogeny class |
Conductor |
3502 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
246796499566592 = 214 · 175 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25186,-1333663] |
[a1,a2,a3,a4,a6] |
j |
1766790857711104497/246796499566592 |
j-invariant |
L |
2.677452937453 |
L(r)(E,1)/r! |
Ω |
0.382493276779 |
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 |
28016f1 112064b1 31518g1 87550d1 |
Quadratic twists by: -4 8 -3 5 |