Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328w |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
104127987712 = 216 · 7 · 613 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -3 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7649,259585] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-976:1] |
Generators of the group modulo torsion |
j |
755291402212/1588867 |
j-invariant |
L |
2.0508601994308 |
L(r)(E,1)/r! |
Ω |
1.0620702782247 |
Real period |
R |
0.16091686221076 |
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 |
27328l1 6832a1 |
Quadratic twists by: -4 8 |