Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16280a |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
194021360720 = 24 · 5 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1838,21697] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:205:1] [12:37:1] |
Generators of the group modulo torsion |
j |
42918076606464/12126335045 |
j-invariant |
L |
6.1746784226408 |
L(r)(E,1)/r! |
Ω |
0.93740998963683 |
Real period |
R |
3.2934780357063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32560d1 81400k1 |
Quadratic twists by: -4 5 |