Atkin-Lehner |
2+ 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560f |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2836933862400 = 210 · 32 · 52 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6040,-159488] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:100:1] |
Generators of the group modulo torsion |
j |
23801617542244/2770443225 |
j-invariant |
L |
4.7110734060315 |
L(r)(E,1)/r! |
Ω |
0.54565658518297 |
Real period |
R |
2.1584424768762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002223 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280t2 |
Quadratic twists by: -4 |