Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696ce |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
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 |
3.0293794210887 |
L(r)(E,1)/r! |
Ω |
0.75734488293416 |
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 |
85696w1 21424j1 |
Quadratic twists by: -4 8 |