Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870u |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
202753073970 = 2 · 38 · 5 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2461,-41905] |
[a1,a2,a3,a4,a6] |
j |
1648426481060689/202753073970 |
j-invariant |
L |
5.4663734088918 |
L(r)(E,1)/r! |
Ω |
0.68329667611147 |
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 |
56610g4 94350c4 |
Quadratic twists by: -3 5 |