Atkin-Lehner |
2- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974h |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
135382628 = 22 · 173 · 832 |
Discriminant |
Eigenvalues |
2- 2 4 -4 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-941,-11489] |
[a1,a2,a3,a4,a6] |
Generators |
[-2773710:1224143:157464] |
Generators of the group modulo torsion |
j |
18757487393/27556 |
j-invariant |
L |
14.755067489773 |
L(r)(E,1)/r! |
Ω |
0.86206112565357 |
Real period |
R |
8.5580169727361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47974i1 |
Quadratic twists by: 17 |