Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664p |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-464948848 = -1 · 24 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257,1895] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:49:1] |
Generators of the group modulo torsion |
j |
-117328386816/29059303 |
j-invariant |
L |
3.3949826604739 |
L(r)(E,1)/r! |
Ω |
1.585559766891 |
Real period |
R |
0.35686478379922 |
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 |
6916b1 110656bq1 |
Quadratic twists by: -4 8 |