Atkin-Lehner |
2- 3- 7+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bb |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
319680 |
Modular degree for the optimal curve |
Δ |
43386155064 = 23 · 36 · 73 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65417,6456273] |
[a1,a2,a3,a4,a6] |
j |
42468002165719369/59514616 |
j-invariant |
L |
5.8113422867796 |
L(r)(E,1)/r! |
Ω |
0.96855706180963 |
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 |
13202c1 |
Quadratic twists by: -3 |