Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560j |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
79857343653120 = 28 · 36 · 5 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16356,-686196] |
[a1,a2,a3,a4,a6] |
Generators |
[270:-3828:1] |
Generators of the group modulo torsion |
j |
1890347315128144/311942748645 |
j-invariant |
L |
5.1344585855871 |
L(r)(E,1)/r! |
Ω |
0.42688839453343 |
Real period |
R |
0.50115153540621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280d2 |
Quadratic twists by: -4 |