Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688k |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-980398577664 = -1 · 211 · 310 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1968,-33120] |
[a1,a2,a3,a4,a6] |
Generators |
[51:450:1] |
Generators of the group modulo torsion |
j |
411384898654/478710243 |
j-invariant |
L |
6.2401896699744 |
L(r)(E,1)/r! |
Ω |
0.4731337881643 |
Real period |
R |
2.6378118942575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35376f2 53064j2 |
Quadratic twists by: -4 -3 |