Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342w |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3226737475584 = -1 · 215 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2269,-76317] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1122:1] |
Generators of the group modulo torsion |
j |
406869021/1015808 |
j-invariant |
L |
9.8859355772939 |
L(r)(E,1)/r! |
Ω |
0.41114351943504 |
Real period |
R |
0.40074958053895 |
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 |
27342a2 558f1 |
Quadratic twists by: -3 -7 |