Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29584m |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-128663708655831808 = -1 · 28 · 439 |
Discriminant |
Eigenvalues |
2- -2 0 -4 3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,123267,4552375] |
[a1,a2,a3,a4,a6] |
Generators |
[894:79507:27] |
Generators of the group modulo torsion |
j |
128000000/79507 |
j-invariant |
L |
2.5600875009533 |
L(r)(E,1)/r! |
Ω |
0.20382081159373 |
Real period |
R |
1.570060167639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7396a2 118336bk2 688b2 |
Quadratic twists by: -4 8 -43 |