Atkin-Lehner |
2- 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81396j |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
421956864 = 28 · 36 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28584,1860084] |
[a1,a2,a3,a4,a6] |
j |
13839653855232/2261 |
j-invariant |
L |
2.6337614184826 |
L(r)(E,1)/r! |
Ω |
1.3168807037327 |
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 |
9044b1 |
Quadratic twists by: -3 |