Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860j |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
10633427280 = 24 · 36 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,-551] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:63:1] |
Generators of the group modulo torsion |
j |
1594753024/911645 |
j-invariant |
L |
4.9170116371783 |
L(r)(E,1)/r! |
Ω |
1.0670002646294 |
Real period |
R |
0.76804286440313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8540c1 |
Quadratic twists by: -3 |