Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770a |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60478408392187500 = 22 · 36 · 58 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28913368,-59852675228] |
[a1,a2,a3,a4,a6] |
Generators |
[-282945105:138559969:91125] |
Generators of the group modulo torsion |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
3.1279397818155 |
L(r)(E,1)/r! |
Ω |
0.065106579936906 |
Real period |
R |
12.010843546027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330c5 |
Quadratic twists by: 13 |