Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21576h |
Isogeny class |
Conductor |
21576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-428755197591917568 = -1 · 210 · 33 · 298 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217904,50325180] |
[a1,a2,a3,a4,a6] |
Generators |
[-735398182090:-46664833618025:5286210488] |
Generators of the group modulo torsion |
j |
-1117432648433352388/418706247648357 |
j-invariant |
L |
4.5708361494114 |
L(r)(E,1)/r! |
Ω |
0.28028215850773 |
Real period |
R |
16.307981120694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43152k3 64728d3 |
Quadratic twists by: -4 -3 |