Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888y |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-199901184 = -1 · 214 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224,1536] |
[a1,a2,a3,a4,a6] |
Generators |
[10:14:1] |
Generators of the group modulo torsion |
j |
-304821217/48804 |
j-invariant |
L |
5.5579857571665 |
L(r)(E,1)/r! |
Ω |
1.7220599586298 |
Real period |
R |
0.80688040641583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486n1 111552du1 83664cl1 |
Quadratic twists by: -4 8 -3 |