Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472db |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
33144832 = 214 · 7 · 172 |
Discriminant |
Eigenvalues |
2- -1 0 7- -6 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-335] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
5.0268813922355 |
L(r)(E,1)/r! |
Ω |
1.4844108926729 |
Real period |
R |
0.84661220888767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997080986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472c1 32368x1 129472ck1 |
Quadratic twists by: -4 8 17 |