Atkin-Lehner |
2+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
42160g |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
67456000 = 210 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 0 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256,1444] |
[a1,a2,a3,a4,a6] |
Generators |
[0:38:1] |
Generators of the group modulo torsion |
j |
1819026436/65875 |
j-invariant |
L |
7.8479344093897 |
L(r)(E,1)/r! |
Ω |
1.9409722924256 |
Real period |
R |
2.0216502935179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080g1 |
Quadratic twists by: -4 |