Atkin-Lehner |
2- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
37520k |
Isogeny class |
Conductor |
37520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
86528222986240000 = 218 · 54 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24513067,-46713732774] |
[a1,a2,a3,a4,a6] |
j |
397701034713398318537601/21125054440000 |
j-invariant |
L |
0.81420054552381 |
L(r)(E,1)/r! |
Ω |
0.067850045463719 |
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 |
4690d2 |
Quadratic twists by: -4 |