Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650cv |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2129864625000 = 23 · 38 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56238,5128092] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-606:1] |
Generators of the group modulo torsion |
j |
1258907355383833/136311336 |
j-invariant |
L |
12.307017251078 |
L(r)(E,1)/r! |
Ω |
0.79136788638114 |
Real period |
R |
0.32399115145072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226c2 |
Quadratic twists by: 5 |