Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cn |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2343813120 = -1 · 214 · 32 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,2324] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-48:1] [11:60:1] |
Generators of the group modulo torsion |
j |
-117649/572220 |
j-invariant |
L |
9.3653313742309 |
L(r)(E,1)/r! |
Ω |
1.1663802518356 |
Real period |
R |
2.0073495241996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610y1 |
Quadratic twists by: -4 |