Atkin-Lehner |
3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10065g |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20260845 = 32 · 5 · 112 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-226,1271] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:25:1] [5:14:1] |
Generators of the group modulo torsion |
j |
1276935990049/20260845 |
j-invariant |
L |
4.1278852579921 |
L(r)(E,1)/r! |
Ω |
2.1654294912323 |
Real period |
R |
0.95313314857543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30195p2 50325a2 110715n2 |
Quadratic twists by: -3 5 -11 |