Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ct |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.3099850259287E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,213283,-169888831] |
[a1,a2,a3,a4,a6] |
Generators |
[12432:138061:27] [43320:1771561:27] |
Generators of the group modulo torsion |
j |
9463555063808/115539436859 |
j-invariant |
L |
9.8047263880227 |
L(r)(E,1)/r! |
Ω |
0.11007624518792 |
Real period |
R |
11.134017120686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208l3 13552z3 4928t3 |
Quadratic twists by: -4 8 -11 |