Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608fd |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
192683970920448 = 218 · 37 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248268,47608720] |
[a1,a2,a3,a4,a6] |
j |
8855610342769/1008273 |
j-invariant |
L |
4.3539461959912 |
L(r)(E,1)/r! |
Ω |
0.54424327760418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bw1 19152cb1 25536dl1 |
Quadratic twists by: -4 8 -3 |