Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870b |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
733337217773437500 = 22 · 35 · 512 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285883,41880337] |
[a1,a2,a3,a4,a6] |
j |
2583991485793826063929/733337217773437500 |
j-invariant |
L |
0.53054857876198 |
L(r)(E,1)/r! |
Ω |
0.26527428938099 |
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 |
56610bc3 94350bw3 |
Quadratic twists by: -3 5 |