Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194g |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
119818892516 = 22 · 177 · 73 |
Discriminant |
Eigenvalues |
2+ 2 2 0 4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7664,254540] |
[a1,a2,a3,a4,a6] |
Generators |
[43:61:1] |
Generators of the group modulo torsion |
j |
2062933417/4964 |
j-invariant |
L |
7.2863432487089 |
L(r)(E,1)/r! |
Ω |
1.0506280029372 |
Real period |
R |
3.4676132885935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482c1 |
Quadratic twists by: 17 |