Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920bb |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
75116160000 = 210 · 36 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,-3782] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:76:1] [-13:90:1] |
Generators of the group modulo torsion |
j |
188183524/100625 |
j-invariant |
L |
11.114768513318 |
L(r)(E,1)/r! |
Ω |
0.88497868336214 |
Real period |
R |
3.1398407443147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960j1 12880i1 |
Quadratic twists by: -4 -3 |