Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032z |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
636221952 = 29 · 34 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] [-4:14:1] |
Generators of the group modulo torsion |
j |
2998442888/1242621 |
j-invariant |
L |
5.1857522449133 |
L(r)(E,1)/r! |
Ω |
1.2577481303949 |
Real period |
R |
2.061522541589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032bf2 128064dm2 |
Quadratic twists by: -4 8 |