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 |
Δ |
74347622806178 = 2 · 178 · 732 |
Discriminant |
Eigenvalues |
2+ 2 2 0 4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10554,41258] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:13954:27] |
Generators of the group modulo torsion |
j |
5386984777/3080162 |
j-invariant |
L |
7.2863432487089 |
L(r)(E,1)/r! |
Ω |
0.5253140014686 |
Real period |
R |
6.9352265771869 |
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 |
2482c2 |
Quadratic twists by: 17 |