Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700d |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-385870807044000000 = -1 · 28 · 319 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 0 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36825,29762750] |
[a1,a2,a3,a4,a6] |
Generators |
[106:5904:1] |
Generators of the group modulo torsion |
j |
1893932336/132328809 |
j-invariant |
L |
7.0768834797579 |
L(r)(E,1)/r! |
Ω |
0.22943929369581 |
Real period |
R |
5.1407087286064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900c1 2988a1 |
Quadratic twists by: -3 5 |