Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752k |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4916918178551808 = 211 · 36 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42632,298032] |
[a1,a2,a3,a4,a6] |
j |
2361864386/1355211 |
j-invariant |
L |
2.2177181475793 |
L(r)(E,1)/r! |
Ω |
0.36961969125647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504f2 113256bx2 3432i2 |
Quadratic twists by: -4 -3 -11 |