Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896v |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
1696038912 = 215 · 36 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -4 -5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] |
Generators of the group modulo torsion |
j |
125000/71 |
j-invariant |
L |
5.9057478225016 |
L(r)(E,1)/r! |
Ω |
1.2389401511367 |
Real period |
R |
2.3833870494396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896k1 20448k1 4544a1 |
Quadratic twists by: -4 8 -3 |