Atkin-Lehner |
2- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240o |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-15197378969600 = -1 · 221 · 52 · 173 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4624,141760] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:128:1] [-22:170:1] |
Generators of the group modulo torsion |
j |
2668844775311/3710297600 |
j-invariant |
L |
7.2825676691755 |
L(r)(E,1)/r! |
Ω |
0.47304075884012 |
Real period |
R |
0.64146759846568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030j1 |
Quadratic twists by: -4 |