Atkin-Lehner |
2+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8816a |
Isogeny class |
Conductor |
8816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-9015735296 = -1 · 210 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ -1 -3 0 -5 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-712,8864] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-58:1] [14:38:1] |
Generators of the group modulo torsion |
j |
-39036741412/8804429 |
j-invariant |
L |
4.2762572398997 |
L(r)(E,1)/r! |
Ω |
1.2418571840078 |
Real period |
R |
0.28695310103341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4408b1 35264bd1 79344h1 |
Quadratic twists by: -4 8 -3 |