Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560cy |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
954404943570000 = 24 · 32 · 54 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459905,119884350] |
[a1,a2,a3,a4,a6] |
Generators |
[330:2040:1] |
Generators of the group modulo torsion |
j |
63404326912/5625 |
j-invariant |
L |
7.6811571254327 |
L(r)(E,1)/r! |
Ω |
0.47378454522531 |
Real period |
R |
4.0530855231794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10140i1 121680eg1 40560cl1 |
Quadratic twists by: -4 -3 13 |