Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808h |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-18913712541696 = -1 · 212 · 32 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1071,208449] |
[a1,a2,a3,a4,a6] |
j |
33138024128/4617605601 |
j-invariant |
L |
2.1158501489712 |
L(r)(E,1)/r! |
Ω |
0.52896253719841 |
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 |
59808j2 119616ba1 |
Quadratic twists by: -4 8 |