Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4704q |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-70837874688 = -1 · 212 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 6 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-7419] |
[a1,a2,a3,a4,a6] |
j |
3584/3 |
j-invariant |
L |
1.2103085139281 |
L(r)(E,1)/r! |
Ω |
0.60515425696404 |
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 |
4704ba1 9408cp1 14112n1 117600ci1 |
Quadratic twists by: -4 8 -3 5 |