Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054bf |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-2466012912 = -1 · 24 · 3 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58,2388] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2448:1] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
10.474180292429 |
L(r)(E,1)/r! |
Ω |
1.1122679782541 |
Real period |
R |
2.3542393778317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162v1 174d1 |
Quadratic twists by: -3 -11 |