Atkin-Lehner |
3- 11- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70587l |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213496195257081 = 38 · 112 · 234 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49401,4179712] |
[a1,a2,a3,a4,a6] |
j |
18289774439004817/292861721889 |
j-invariant |
L |
4.5017039459188 |
L(r)(E,1)/r! |
Ω |
0.56271299281894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23529b2 |
Quadratic twists by: -3 |