Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7968h |
Isogeny class |
Conductor |
7968 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-82612224 = -1 · 212 · 35 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145729,21363983] |
[a1,a2,a3,a4,a6] |
Generators |
[221:24:1] |
Generators of the group modulo torsion |
j |
-83561205858628672/20169 |
j-invariant |
L |
6.0349984597844 |
L(r)(E,1)/r! |
Ω |
1.1298369134778 |
Real period |
R |
0.534147750688 |
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 |
7968c1 15936h1 23904m1 |
Quadratic twists by: -4 8 -3 |