Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800dd |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
427500000000 = 28 · 32 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,5688] |
[a1,a2,a3,a4,a6] |
Generators |
[503:11250:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
4.9611802373286 |
L(r)(E,1)/r! |
Ω |
0.8165343567615 |
Real period |
R |
3.0379494728215 |
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 |
5700g2 91200gm2 68400ev2 4560o2 |
Quadratic twists by: -4 8 -3 5 |