Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bx |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
440477856000 = 28 · 32 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2548,38692] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:294:1] |
Generators of the group modulo torsion |
j |
57192942224/13764933 |
j-invariant |
L |
5.4766343371158 |
L(r)(E,1)/r! |
Ω |
0.88322550785458 |
Real period |
R |
0.25836334588597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cf2 54600bd2 |
Quadratic twists by: -4 5 |