Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456k |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1026048 |
Modular degree for the optimal curve |
Δ |
8210487888 = 24 · 39 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2111754,1181171887] |
[a1,a2,a3,a4,a6] |
Generators |
[13819546:-46002033:17576] |
Generators of the group modulo torsion |
j |
89290689706121377792/703917 |
j-invariant |
L |
9.9954317904529 |
L(r)(E,1)/r! |
Ω |
0.64728391865394 |
Real period |
R |
7.7210568218776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999588047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64728d1 43152k1 |
Quadratic twists by: -4 -3 |