Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180p |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1004197500000000 = 28 · 36 · 510 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35823,2118022] |
[a1,a2,a3,a4,a6] |
Generators |
[10021998:604874047:2744] |
Generators of the group modulo torsion |
j |
27242193769936/5380859375 |
j-invariant |
L |
6.3160790243179 |
L(r)(E,1)/r! |
Ω |
0.46807820553939 |
Real period |
R |
13.493640466886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11020f2 |
Quadratic twists by: -3 |