Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688j |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
295590171165696 = 210 · 312 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179112,29105280] |
[a1,a2,a3,a4,a6] |
Generators |
[315:2010:1] |
Generators of the group modulo torsion |
j |
620583508227727012/288662276529 |
j-invariant |
L |
6.8710973520608 |
L(r)(E,1)/r! |
Ω |
0.53854854273462 |
Real period |
R |
2.126424641677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35376e2 53064i2 |
Quadratic twists by: -4 -3 |