Atkin-Lehner |
2+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024a |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27870660608 = 211 · 72 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272,-15088] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] |
Generators of the group modulo torsion |
j |
111223479026/13608721 |
j-invariant |
L |
10.430154661304 |
L(r)(E,1)/r! |
Ω |
0.80578277863218 |
Real period |
R |
1.618015881286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29512e2 |
Quadratic twists by: -4 |