Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bz |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1802725134336 = 212 · 38 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37299,2771890] |
[a1,a2,a3,a4,a6] |
j |
1921886786737/603729 |
j-invariant |
L |
3.2747533953706 |
L(r)(E,1)/r! |
Ω |
0.81868834884338 |
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 |
2331h2 12432bs2 |
Quadratic twists by: -4 -3 |