Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cp |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
1196032000 = 217 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,1823] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-80:1] |
Generators of the group modulo torsion |
j |
297754/73 |
j-invariant |
L |
6.714367181288 |
L(r)(E,1)/r! |
Ω |
1.4437968793913 |
Real period |
R |
0.58131161721165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800z1 29200e1 116800cx1 |
Quadratic twists by: -4 8 5 |