Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ce |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-677387176704 = -1 · 28 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1699,28449] |
[a1,a2,a3,a4,a6] |
j |
17997824/22491 |
j-invariant |
L |
2.4338216556853 |
L(r)(E,1)/r! |
Ω |
0.60845541391831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996m1 119952er1 5712p1 |
Quadratic twists by: -4 -3 -7 |