Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520dr |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-20044800 = -1 · 210 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11028,445752] |
[a1,a2,a3,a4,a6] |
Generators |
[61:5:1] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
4.9394031091804 |
L(r)(E,1)/r! |
Ω |
1.6849758220558 |
Real period |
R |
0.73285964182695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520i1 20880bo1 83520dx1 |
Quadratic twists by: -4 8 -3 |