Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696w |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
718870151168 = 229 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 2 4 -3 5 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2241,2753] |
[a1,a2,a3,a4,a6] |
j |
4750104241/2742272 |
j-invariant |
L |
6.1378306731155 |
L(r)(E,1)/r! |
Ω |
0.76722885138471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696ce1 2678i1 |
Quadratic twists by: -4 8 |