Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bl |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
629495555062500 = 22 · 310 · 56 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25232,966831] |
[a1,a2,a3,a4,a6] |
j |
2436885228142009/863505562500 |
j-invariant |
L |
5.6495165190781 |
L(r)(E,1)/r! |
Ω |
0.47079304325795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390c2 |
Quadratic twists by: -3 |