Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050b |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-175178700 = -1 · 22 · 39 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,656] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] [-2:28:1] |
Generators of the group modulo torsion |
j |
-16875/356 |
j-invariant |
L |
6.9786416687936 |
L(r)(E,1)/r! |
Ω |
1.5172295706272 |
Real period |
R |
1.1498987700834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40050u1 40050x1 |
Quadratic twists by: -3 5 |