Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870b |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1096593694114500 = 22 · 320 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1678563,-837754407] |
[a1,a2,a3,a4,a6] |
j |
523042590287839380030649/1096593694114500 |
j-invariant |
L |
0.53054857876198 |
L(r)(E,1)/r! |
Ω |
0.1326371446905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610bc4 94350bw4 |
Quadratic twists by: -3 5 |