Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808h |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14649610752 = 29 · 38 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46544,3880500] |
[a1,a2,a3,a4,a6] |
j |
21779815359593096/28612521 |
j-invariant |
L |
2.1158501489712 |
L(r)(E,1)/r! |
Ω |
1.0579250743968 |
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 |
59808j4 119616ba4 |
Quadratic twists by: -4 8 |