Atkin-Lehner |
2- 3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bt |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1709194037760000 = 212 · 38 · 54 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44720,-3033600] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:160:1] |
Generators of the group modulo torsion |
j |
2414787172415281/417283700625 |
j-invariant |
L |
6.6115726447229 |
L(r)(E,1)/r! |
Ω |
0.33217724751763 |
Real period |
R |
2.4879686575745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4785c2 |
Quadratic twists by: -4 |