Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2210c |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-19536400 = -1 · 24 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62,81] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
26757728271/19536400 |
j-invariant |
L |
4.189171116208 |
L(r)(E,1)/r! |
Ω |
1.3804327372897 |
Real period |
R |
0.37933495445357 |
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 |
17680g2 70720p2 19890p2 11050e2 |
Quadratic twists by: -4 8 -3 5 |