Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cp |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
6731567543234177280 = 28 · 33 · 5 · 79 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1020196,376123040] |
[a1,a2,a3,a4,a6] |
j |
11367178023472/651619215 |
j-invariant |
L |
2.7993570861361 |
L(r)(E,1)/r! |
Ω |
0.23327976100422 |
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 |
76440ch1 |
Quadratic twists by: -7 |