Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13132c |
Isogeny class |
Conductor |
13132 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
882838096 = 24 · 77 · 67 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -4 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,862] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:49:1] |
Generators of the group modulo torsion |
j |
1048576/469 |
j-invariant |
L |
3.1852483578298 |
L(r)(E,1)/r! |
Ω |
1.4174156358865 |
Real period |
R |
0.18726854454831 |
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 |
52528bm1 118188r1 1876a1 |
Quadratic twists by: -4 -3 -7 |