Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bh |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4669440000 = 217 · 3 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9761,367935] |
[a1,a2,a3,a4,a6] |
Generators |
[906:6825:8] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
5.4602062755245 |
L(r)(E,1)/r! |
Ω |
1.2925017060841 |
Real period |
R |
4.2245253912021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240bs3 2280a4 54720cc4 91200y4 |
Quadratic twists by: -4 8 -3 5 |