Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ck |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1456001399626704 = 24 · 33 · 79 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36129,1913724] |
[a1,a2,a3,a4,a6] |
j |
8077950976/2255067 |
j-invariant |
L |
0.89191303856639 |
L(r)(E,1)/r! |
Ω |
0.44595651928114 |
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 |
9996p1 119952fb1 39984de1 |
Quadratic twists by: -4 -3 -7 |