Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
51040k |
Isogeny class |
Conductor |
51040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32665600 = 212 · 52 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1708,27168] |
[a1,a2,a3,a4,a6] |
Generators |
[28:36:1] |
Generators of the group modulo torsion |
j |
134532546624/7975 |
j-invariant |
L |
3.5803477298505 |
L(r)(E,1)/r! |
Ω |
1.9668791024778 |
Real period |
R |
1.8203191672315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51040a2 102080r1 |
Quadratic twists by: -4 8 |