Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cd |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2049271488 = -1 · 26 · 37 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11- 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81,2187] |
[a1,a2,a3,a4,a6] |
Generators |
[18:99:1] |
Generators of the group modulo torsion |
j |
61952/2187 |
j-invariant |
L |
5.3754038268682 |
L(r)(E,1)/r! |
Ω |
1.1109565762752 |
Real period |
R |
0.23040649496983 |
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 |
23232r1 11616s1 69696cg1 23232cc1 |
Quadratic twists by: -4 8 -3 -11 |