Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14600a |
Isogeny class |
Conductor |
14600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
29200 = 24 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -2 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
160000/73 |
j-invariant |
L |
6.0129234454173 |
L(r)(E,1)/r! |
Ω |
2.9340485379826 |
Real period |
R |
1.0246802954309 |
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 |
29200a1 116800g1 14600g1 |
Quadratic twists by: -4 8 5 |