Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bb |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-19520022380544 = -1 · 226 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,210800] |
[a1,a2,a3,a4,a6] |
j |
2924207/102144 |
j-invariant |
L |
2.0706395922042 |
L(r)(E,1)/r! |
Ω |
0.51765989936051 |
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 |
76608fk1 2394f1 25536c1 |
Quadratic twists by: -4 8 -3 |