Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760bk |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1189616025600 = 218 · 37 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2667,-7526] |
[a1,a2,a3,a4,a6] |
j |
702595369/398400 |
j-invariant |
L |
2.8680174081243 |
L(r)(E,1)/r! |
Ω |
0.71700435273703 |
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 |
7470r1 19920o1 |
Quadratic twists by: -4 -3 |