Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170g |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33635000 = 23 · 54 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282,-1924] |
[a1,a2,a3,a4,a6] |
j |
2493877677481/33635000 |
j-invariant |
L |
2.3308880249991 |
L(r)(E,1)/r! |
Ω |
1.1654440124996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17360bf2 69440w2 19530bw2 10850w2 |
Quadratic twists by: -4 8 -3 5 |