Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bf |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-26139024000000 = -1 · 210 · 39 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1730,-247103] |
[a1,a2,a3,a4,a6] |
Generators |
[73:71:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
9.7782568436984 |
L(r)(E,1)/r! |
Ω |
0.29294427425094 |
Real period |
R |
1.6689619328967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37350b1 1494a1 |
Quadratic twists by: -3 5 |