Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592m |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8355207168 = 211 · 32 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22968,1332144] |
[a1,a2,a3,a4,a6] |
Generators |
[-870:12789:8] |
Generators of the group modulo torsion |
j |
654307964635250/4079691 |
j-invariant |
L |
8.2166220524962 |
L(r)(E,1)/r! |
Ω |
1.1661108774096 |
Real period |
R |
3.523087817652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184e2 |
Quadratic twists by: -4 |