Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209b |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
-2.8266385699171E+21 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 3 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2739603,1870924150] |
[a1,a2,a3,a4,a6] |
Generators |
[1311200:98948919:1331] |
Generators of the group modulo torsion |
j |
471114356703100928/585612268875179 |
j-invariant |
L |
3.3113919693071 |
L(r)(E,1)/r! |
Ω |
0.096019091963878 |
Real period |
R |
4.3108509745032 |
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 |
2093f1 |
Quadratic twists by: 13 |