Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
80100f |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-15379200 = -1 · 28 · 33 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[24:102:1] |
Generators of the group modulo torsion |
j |
-1105920/89 |
j-invariant |
L |
8.36196894204 |
L(r)(E,1)/r! |
Ω |
0.71792082541975 |
Real period |
R |
1.94124677929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80100c1 80100j1 |
Quadratic twists by: -3 5 |