Atkin-Lehner |
3+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21165d |
Isogeny class |
Conductor |
21165 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17760 |
Modular degree for the optimal curve |
Δ |
-167983959375 = -1 · 33 · 55 · 172 · 832 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1288,-7989] |
[a1,a2,a3,a4,a6] |
j |
236017574465399/167983959375 |
j-invariant |
L |
2.869211553436 |
L(r)(E,1)/r! |
Ω |
0.57384231068721 |
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 |
63495g1 105825c1 |
Quadratic twists by: -3 5 |