Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bk |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
783552 |
Modular degree for the optimal curve |
Δ |
-23546700000000000 = -1 · 211 · 36 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 1 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26523,-7567722] |
[a1,a2,a3,a4,a6] |
j |
-1382083134642/15771484375 |
j-invariant |
L |
4.0388855966957 |
L(r)(E,1)/r! |
Ω |
0.1615554112383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12920g1 |
Quadratic twists by: -3 |