Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224h |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
960432827747328 = 210 · 313 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417603,103860110] |
[a1,a2,a3,a4,a6] |
Generators |
[695:12220:1] |
Generators of the group modulo torsion |
j |
10789145673350404/1286588043 |
j-invariant |
L |
7.4924433477851 |
L(r)(E,1)/r! |
Ω |
0.4765120000095 |
Real period |
R |
3.930878628226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448j2 18408i2 |
Quadratic twists by: -4 -3 |