Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cm |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.191949971399E+22 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 5 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120563389,509599053937] |
[a1,a2,a3,a4,a6] |
j |
-6434900743458429657088/395758108932291 |
j-invariant |
L |
3.3712532736032 |
L(r)(E,1)/r! |
Ω |
0.12040190262818 |
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 |
9996q1 119952fr1 5712y1 |
Quadratic twists by: -4 -3 -7 |