Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144q |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
260736 |
Modular degree for the optimal curve |
Δ |
-16322881536 = -1 · 211 · 36 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 -4 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1450827,672622758] |
[a1,a2,a3,a4,a6] |
Generators |
[86930:116:125] |
Generators of the group modulo torsion |
j |
-226210687270871058/10933 |
j-invariant |
L |
4.1441256228645 |
L(r)(E,1)/r! |
Ω |
0.67127098521005 |
Real period |
R |
3.0867754708389 |
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 |
54288o1 3016b1 |
Quadratic twists by: -4 -3 |