Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400p |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-944000000 = -1 · 210 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933,10763] |
[a1,a2,a3,a4,a6] |
Generators |
[7:68:1] [19:16:1] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
12.650602776067 |
L(r)(E,1)/r! |
Ω |
1.5760803208998 |
Real period |
R |
4.0133115707836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400bv1 5900a1 3776h1 |
Quadratic twists by: -4 8 5 |