Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464m |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
561593815792128 = 29 · 38 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32259,-1916602] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:126:1] |
Generators of the group modulo torsion |
j |
9946697822216/1504613061 |
j-invariant |
L |
8.0194758695053 |
L(r)(E,1)/r! |
Ω |
0.35985017333148 |
Real period |
R |
1.3928497997264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464j3 116928ex3 19488f3 |
Quadratic twists by: -4 8 -3 |