Atkin-Lehner |
2- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550o |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
36324760625000 = 23 · 57 · 17 · 434 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91630,-10649003] |
[a1,a2,a3,a4,a6] |
j |
5445180773290089/2324784680 |
j-invariant |
L |
3.2929328722124 |
L(r)(E,1)/r! |
Ω |
0.27441107268475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310f3 |
Quadratic twists by: 5 |