Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4704c |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-79692609024 = -1 · 29 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 1 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,-81164] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2254:1] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
3.8552448513626 |
L(r)(E,1)/r! |
Ω |
0.30907825546789 |
Real period |
R |
2.0788936044295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4704j1 9408cn1 14112bs1 117600gf1 |
Quadratic twists by: -4 8 -3 5 |