Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946n |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-39129804 = -1 · 22 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 3 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79,109] |
[a1,a2,a3,a4,a6] |
j |
2803221/1988 |
j-invariant |
L |
5.1895269971951 |
L(r)(E,1)/r! |
Ω |
1.2973817492988 |
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 |
71568bc1 8946b1 62622bm1 |
Quadratic twists by: -4 -3 -7 |