Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472c |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
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 |
[2:11:1] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
8.8268451941253 |
L(r)(E,1)/r! |
Ω |
1.9631940203943 |
Real period |
R |
2.2480827593567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472db1 8092b1 129472bm1 |
Quadratic twists by: -4 8 17 |