Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054bd |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-54252284064 = -1 · 25 · 3 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,421,10737] |
[a1,a2,a3,a4,a6] |
j |
4657463/30624 |
j-invariant |
L |
8.1253479280215 |
L(r)(E,1)/r! |
Ω |
0.81253479280215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bd1 1914f1 |
Quadratic twists by: -3 -11 |