Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
83544a |
Isogeny class |
Conductor |
83544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-24836965521408 = -1 · 211 · 310 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 3 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2104,243340] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:486:1] |
Generators of the group modulo torsion |
j |
-2450086/59049 |
j-invariant |
L |
4.4154306656193 |
L(r)(E,1)/r! |
Ω |
0.56329453739495 |
Real period |
R |
1.9596456085663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83544e1 |
Quadratic twists by: -59 |