Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19942d |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13464 |
Modular degree for the optimal curve |
Δ |
-569563462 = -1 · 2 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 2 2 3 1 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-679,-7197] |
[a1,a2,a3,a4,a6] |
j |
-7189057/118 |
j-invariant |
L |
4.2037612619105 |
L(r)(E,1)/r! |
Ω |
0.46708458465672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118c1 |
Quadratic twists by: 13 |