Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288s |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2040360192 = 28 · 36 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-711,6966] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:36:1] [-11:116:1] |
Generators of the group modulo torsion |
j |
212992848/10933 |
j-invariant |
L |
7.7355111722773 |
L(r)(E,1)/r! |
Ω |
1.4522127617323 |
Real period |
R |
1.3316766275783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144s2 6032a2 |
Quadratic twists by: -4 -3 |