Atkin-Lehner |
7- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101d |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47808 |
Modular degree for the optimal curve |
Δ |
-1110959507 = -1 · 77 · 19 · 71 |
Discriminant |
Eigenvalues |
2 -1 4 7- -4 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,1609] |
[a1,a2,a3,a4,a6] |
j |
-4096/9443 |
j-invariant |
L |
2.4891140184324 |
L(r)(E,1)/r! |
Ω |
1.2445570126604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443b1 |
Quadratic twists by: -7 |