Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
14536b |
Isogeny class |
Conductor |
14536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3552 |
Modular degree for the optimal curve |
Δ |
1860608 = 210 · 23 · 79 |
Discriminant |
Eigenvalues |
2+ 2 0 0 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,-5572] |
[a1,a2,a3,a4,a6] |
Generators |
[-7938505476:191246383:567663552] |
Generators of the group modulo torsion |
j |
24313562500/1817 |
j-invariant |
L |
6.9587568764433 |
L(r)(E,1)/r! |
Ω |
0.96131584037889 |
Real period |
R |
14.477566236089 |
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 |
29072f1 116288f1 |
Quadratic twists by: -4 8 |