Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bg |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4055583735000 = -1 · 23 · 39 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1703,-100169] |
[a1,a2,a3,a4,a6] |
j |
-27735580683/206045000 |
j-invariant |
L |
3.9446159153122 |
L(r)(E,1)/r! |
Ω |
0.32871799294268 |
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 |
18270j2 91350f2 127890ed2 |
Quadratic twists by: -3 5 -7 |