Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dh |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-963658637770752 = -1 · 217 · 311 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92792,-11012652] |
[a1,a2,a3,a4,a6] |
Generators |
[742:-18144:1] |
Generators of the group modulo torsion |
j |
-178284948703873/1944365472 |
j-invariant |
L |
8.5935056195144 |
L(r)(E,1)/r! |
Ω |
0.13668136062273 |
Real period |
R |
0.476307193627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082b1 121968fx1 40656cm1 |
Quadratic twists by: -4 -3 -11 |