Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382h |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
28033164288 = 210 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7137,233725] |
[a1,a2,a3,a4,a6] |
j |
55154061924625/38454272 |
j-invariant |
L |
2.3438463081089 |
L(r)(E,1)/r! |
Ω |
1.1719231540544 |
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 |
115056ba1 1598a1 |
Quadratic twists by: -4 -3 |