Atkin-Lehner |
3+ 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263d |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-141401509557 = -1 · 3 · 77 · 113 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11+ 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-228346,-42094084] |
[a1,a2,a3,a4,a6] |
j |
-989295424761828059/106237047 |
j-invariant |
L |
1.9655941296476 |
L(r)(E,1)/r! |
Ω |
0.10919963688101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263h1 |
Quadratic twists by: -11 |