Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688j |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-440481255643072512 = -1 · 211 · 36 · 114 · 674 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149952,38926368] |
[a1,a2,a3,a4,a6] |
Generators |
[2202:34485:8] |
Generators of the group modulo torsion |
j |
-182076310206451586/215078738106969 |
j-invariant |
L |
6.8710973520608 |
L(r)(E,1)/r! |
Ω |
0.26927427136731 |
Real period |
R |
4.252849283354 |
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 |
35376e3 53064i3 |
Quadratic twists by: -4 -3 |