Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984br |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-16439060201472 = -1 · 219 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5460,-118064] |
[a1,a2,a3,a4,a6] |
j |
94196375/86022 |
j-invariant |
L |
1.5248521372539 |
L(r)(E,1)/r! |
Ω |
0.38121303431479 |
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 |
33984h1 8496m1 11328q1 |
Quadratic twists by: -4 8 -3 |