Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47396c |
Isogeny class |
Conductor |
47396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
189584 = 24 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 0 1 2 6 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
117504/41 |
j-invariant |
L |
7.5026301698348 |
L(r)(E,1)/r! |
Ω |
2.9292762552365 |
Real period |
R |
0.85375243076072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47396h1 |
Quadratic twists by: 17 |