Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650cf |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
57800953700000000 = 28 · 58 · 76 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3128063,-2129649383] |
[a1,a2,a3,a4,a6] |
j |
1841373668746009/31443200 |
j-invariant |
L |
2.7245348525756 |
L(r)(E,1)/r! |
Ω |
0.11352228552096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330k1 850h1 |
Quadratic twists by: 5 -7 |