Atkin-Lehner |
2+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18592a |
Isogeny class |
Conductor |
18592 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-714230272 = -1 · 29 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -5 -2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205,614] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] [5:42:1] |
Generators of the group modulo torsion |
j |
1860867000/1394981 |
j-invariant |
L |
7.0223686505252 |
L(r)(E,1)/r! |
Ω |
1.026380853606 |
Real period |
R |
0.6841874169665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18592b1 37184e1 |
Quadratic twists by: -4 8 |