Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322u |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
46648769692 = 22 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 2 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2794,-56120] |
[a1,a2,a3,a4,a6] |
Generators |
[-3420:2396:125] |
Generators of the group modulo torsion |
j |
206839/4 |
j-invariant |
L |
8.2235521538692 |
L(r)(E,1)/r! |
Ω |
0.6574342888382 |
Real period |
R |
3.1271384431445 |
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 |
28322y1 28322bh1 |
Quadratic twists by: -7 17 |