Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194b |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1917102280256 = 26 · 177 · 73 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6701,-198683] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:971:8] |
Generators of the group modulo torsion |
j |
1378749897/79424 |
j-invariant |
L |
5.6169326839521 |
L(r)(E,1)/r! |
Ω |
0.52956665540387 |
Real period |
R |
5.3033292661385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482b1 |
Quadratic twists by: 17 |