Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170n |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1988008245440 = 26 · 5 · 7 · 316 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11326,-459900] |
[a1,a2,a3,a4,a6] |
j |
160677764412788449/1988008245440 |
j-invariant |
L |
1.8525296357428 |
L(r)(E,1)/r! |
Ω |
0.46313240893569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17360s2 69440ca2 19530bh2 10850i2 |
Quadratic twists by: -4 8 -3 5 |