Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13832f |
Isogeny class |
Conductor |
13832 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-299213824 = -1 · 210 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -5 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[16:52:1] |
Generators of the group modulo torsion |
j |
-592143556/292201 |
j-invariant |
L |
2.2965693761835 |
L(r)(E,1)/r! |
Ω |
1.609750381772 |
Real period |
R |
0.23777696656043 |
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 |
27664g1 110656c1 124488n1 96824j1 |
Quadratic twists by: -4 8 -3 -7 |