Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bj |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3530089189326572964 = 22 · 312 · 76 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16058606,24772929081] |
[a1,a2,a3,a4,a6] |
j |
628231468580531210149273/4842372001819716 |
j-invariant |
L |
2.6907571321694 |
L(r)(E,1)/r! |
Ω |
0.22422976101411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9282c2 |
Quadratic twists by: -3 |