Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jo |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
196689920000 = 217 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,14337] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:168:1] |
Generators of the group modulo torsion |
j |
2450 |
j-invariant |
L |
10.253480928693 |
L(r)(E,1)/r! |
Ω |
0.91167192354881 |
Real period |
R |
1.8744829626051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dw1 19600be1 78400gl1 78400kz1 |
Quadratic twists by: -4 8 5 -7 |