Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bj |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25798500000000 = 28 · 34 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-701708,226013088] |
[a1,a2,a3,a4,a6] |
Generators |
[-392:21000:1] |
Generators of the group modulo torsion |
j |
76422916981136/51597 |
j-invariant |
L |
8.7563234816115 |
L(r)(E,1)/r! |
Ω |
0.55436261519187 |
Real period |
R |
1.9744124246708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bc2 54600bq2 |
Quadratic twists by: -4 5 |