Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046m |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-64736 = -1 · 25 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12,-17] |
[a1,a2,a3,a4,a6] |
j |
-610929/224 |
j-invariant |
L |
6.3389935244302 |
L(r)(E,1)/r! |
Ω |
1.267798704886 |
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 |
32368bh1 129472q1 36414r1 101150x1 |
Quadratic twists by: -4 8 -3 5 |