Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560ck |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-15662029843200 = -1 · 28 · 3 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -6 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5859,-78441] |
[a1,a2,a3,a4,a6] |
Generators |
[59:690:1] |
Generators of the group modulo torsion |
j |
106496/75 |
j-invariant |
L |
5.0892050332892 |
L(r)(E,1)/r! |
Ω |
0.39382276247931 |
Real period |
R |
3.2306442885946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140c1 121680fi1 40560cx1 |
Quadratic twists by: -4 -3 13 |