Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296bf |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4060191744 = 210 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1044291,410752690] |
[a1,a2,a3,a4,a6] |
Generators |
[-493:28386:1] [83:18018:1] |
Generators of the group modulo torsion |
j |
168717772351634692/5439 |
j-invariant |
L |
7.8994939412925 |
L(r)(E,1)/r! |
Ω |
0.73840527858899 |
Real period |
R |
10.698046412111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18648i3 12432t3 |
Quadratic twists by: -4 -3 |