Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152bd |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.159875006993E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4190768,-16048083052] |
[a1,a2,a3,a4,a6] |
j |
1987213448872952062127/28317260912916156192 |
j-invariant |
L |
5.5551402941931 |
L(r)(E,1)/r! |
Ω |
0.051436484205533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3894k4 124608cg3 93456bj3 |
Quadratic twists by: -4 8 -3 |