Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bf |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1025636311684288512 = -1 · 212 · 315 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 1 5 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27130035,54390596146] |
[a1,a2,a3,a4,a6] |
j |
-739583643739785288625/343483525593 |
j-invariant |
L |
1.810038555796 |
L(r)(E,1)/r! |
Ω |
0.22625481709539 |
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 |
5499e1 29328n1 |
Quadratic twists by: -4 -3 |