Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080gk |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
12395566080 = 210 · 310 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,43576] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:81:1] |
Generators of the group modulo torsion |
j |
1927561216/16605 |
j-invariant |
L |
5.6621072056067 |
L(r)(E,1)/r! |
Ω |
1.2723932534283 |
Real period |
R |
2.2249832006312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999623072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080cw1 29520bs1 39360cm1 |
Quadratic twists by: -4 8 -3 |