Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280bc |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
264494160 = 24 · 34 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175,-490] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:15:1] |
Generators of the group modulo torsion |
j |
37256083456/16530885 |
j-invariant |
L |
6.4865561380751 |
L(r)(E,1)/r! |
Ω |
1.3670498787022 |
Real period |
R |
2.3724650574685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560t1 114240bi1 42840bw1 71400cf1 |
Quadratic twists by: -4 8 -3 5 |