Atkin-Lehner |
2- 3- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bg |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
707520 |
Modular degree for the optimal curve |
Δ |
-499881274252277760 = -1 · 211 · 36 · 5 · 17 · 835 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,197014,4940196] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:1006:1] |
Generators of the group modulo torsion |
j |
845697097867906799711/499881274252277760 |
j-invariant |
L |
8.3866823989394 |
L(r)(E,1)/r! |
Ω |
0.17912025334753 |
Real period |
R |
0.14188339181494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990ba1 |
Quadratic twists by: -3 |