Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
107085i |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.0140547110549E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8679811,-19217443489] |
[a1,a2,a3,a4,a6] |
Generators |
[37536954:4456118309:2744] |
Generators of the group modulo torsion |
j |
30670469461108261/85415580623025 |
j-invariant |
L |
10.725306582415 |
L(r)(E,1)/r! |
Ω |
0.051569973507356 |
Real period |
R |
8.665658394349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107085j2 |
Quadratic twists by: -11 |