Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464u |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59327396352 = 29 · 39 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,25758] |
[a1,a2,a3,a4,a6] |
j |
59319000/5887 |
j-invariant |
L |
2.1594440386979 |
L(r)(E,1)/r! |
Ω |
1.0797220206833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464q2 116928cz2 58464e2 |
Quadratic twists by: -4 8 -3 |