Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280b |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4381345319576400 = 24 · 33 · 52 · 75 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159451,24352360] |
[a1,a2,a3,a4,a6] |
Generators |
[203:555:1] |
Generators of the group modulo torsion |
j |
28021294529409501184/273834082473525 |
j-invariant |
L |
3.4807320409312 |
L(r)(E,1)/r! |
Ω |
0.43862848614644 |
Real period |
R |
3.9677450859509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bk1 114240eb1 42840cb1 71400dv1 |
Quadratic twists by: -4 8 -3 5 |