Atkin-Lehner |
3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263i |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1431936 |
Modular degree for the optimal curve |
Δ |
3621814727219073 = 36 · 72 · 119 · 43 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-866120,309878331] |
[a1,a2,a3,a4,a6] |
Generators |
[-838:21587:1] |
Generators of the group modulo torsion |
j |
30473653902875/1536003 |
j-invariant |
L |
3.8873357668758 |
L(r)(E,1)/r! |
Ω |
0.41852092157922 |
Real period |
R |
4.6441355582036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999469028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109263b1 |
Quadratic twists by: -11 |