Atkin-Lehner |
2- 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bh |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
4549529689915392 = 220 · 38 · 7 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1119011,-455325213] |
[a1,a2,a3,a4,a6] |
j |
212568489801274281193/6240781467648 |
j-invariant |
L |
2.9357681527383 |
L(r)(E,1)/r! |
Ω |
0.14678840825847 |
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 |
23478e1 |
Quadratic twists by: -3 |