Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064u |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1458511767712825344 = 222 · 34 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12812449,17656274209] |
[a1,a2,a3,a4,a6] |
Generators |
[2040:2093:1] |
Generators of the group modulo torsion |
j |
887320005345582835753/5563780852176 |
j-invariant |
L |
4.5245605662988 |
L(r)(E,1)/r! |
Ω |
0.23987487544366 |
Real period |
R |
3.1436949333777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999620688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dc2 4002f2 |
Quadratic twists by: -4 8 |