Atkin-Lehner |
2- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1136d |
Isogeny class |
Conductor |
1136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
39032662786048 = 239 · 71 |
Discriminant |
Eigenvalues |
2- -3 2 3 6 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42019,-3301598] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
1.3342046777797 |
L(r)(E,1)/r! |
Ω |
0.33355116944493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142e1 4544m1 10224s1 28400o1 |
Quadratic twists by: -4 8 -3 5 |