Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440ch |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
57217380030720 = 28 · 33 · 5 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20820,-1090620] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:78:1] |
Generators of the group modulo torsion |
j |
11367178023472/651619215 |
j-invariant |
L |
6.8758567604775 |
L(r)(E,1)/r! |
Ω |
0.39886758766388 |
Real period |
R |
1.4365370392116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440cp1 |
Quadratic twists by: -7 |