Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bm |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
800035669393408 = 214 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -6 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32753,1842193] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:2023:1] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
4.9299925829825 |
L(r)(E,1)/r! |
Ω |
0.47614448880393 |
Real period |
R |
1.7256640653241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472ck1 8092g1 129472c1 |
Quadratic twists by: -4 8 17 |