Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
120328h |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-5205870592 = -1 · 211 · 134 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 0 1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4112,100192] |
[a1,a2,a3,a4,a6] |
j |
-131487746/89 |
j-invariant |
L |
1.3479085749988 |
L(r)(E,1)/r! |
Ω |
1.3479093690488 |
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 |
120328b1 |
Quadratic twists by: 13 |