Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10065l |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8293304443359375 = 34 · 516 · 11 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298010,62438997] |
[a1,a2,a3,a4,a6] |
j |
2926956820564562516641/8293304443359375 |
j-invariant |
L |
1.6616972162127 |
L(r)(E,1)/r! |
Ω |
0.41542430405318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30195h4 50325d4 110715t4 |
Quadratic twists by: -3 5 -11 |