Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065k |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-150791507752875 = -1 · 3 · 53 · 116 · 613 |
Discriminant |
Eigenvalues |
0 3- 5- 5 11+ 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24425,-1591771] |
[a1,a2,a3,a4,a6] |
j |
-1611555289368887296/150791507752875 |
j-invariant |
L |
3.4188222588344 |
L(r)(E,1)/r! |
Ω |
0.18993456993524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30195g2 50325c2 110715s2 |
Quadratic twists by: -3 5 -11 |