Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696k |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
-7744707580390144 = -1 · 28 · 77 · 13 · 414 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 0 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69109,8151759] |
[a1,a2,a3,a4,a6] |
j |
-142591572175224832/30252763985899 |
j-invariant |
L |
1.5936550916497 |
L(r)(E,1)/r! |
Ω |
0.398413774489 |
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 |
14924d1 |
Quadratic twists by: -4 |