Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bk |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
18382930560000 = 210 · 36 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9788,-307969] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:277:1] |
Generators of the group modulo torsion |
j |
142244822676601/25216640000 |
j-invariant |
L |
9.861640191045 |
L(r)(E,1)/r! |
Ω |
0.48582212364207 |
Real period |
R |
1.0149435050793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710j1 |
Quadratic twists by: -3 |