Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870b |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5840551352250000 = 24 · 310 · 56 · 172 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106063,-12820907] |
[a1,a2,a3,a4,a6] |
j |
131953778594977590649/5840551352250000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
56610bc2 94350bw2 |
Quadratic twists by: -3 5 |