Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946be |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-308490769827504 = -1 · 24 · 32 · 11 · 417 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15094,-451116] |
[a1,a2,a3,a4,a6] |
Generators |
[710:9731:8] |
Generators of the group modulo torsion |
j |
80062991/64944 |
j-invariant |
L |
13.235477030758 |
L(r)(E,1)/r! |
Ω |
0.30200798959293 |
Real period |
R |
1.3695288532647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2706m1 |
Quadratic twists by: 41 |