Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656co |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6776655270487990272 = 213 · 34 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1769544,-897916428] |
[a1,a2,a3,a4,a6] |
Generators |
[-813:2004:1] [-708:726:1] |
Generators of the group modulo torsion |
j |
84448510979617/933897762 |
j-invariant |
L |
9.2369568430941 |
L(r)(E,1)/r! |
Ω |
0.1309858544899 |
Real period |
R |
8.814841952844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082i5 121968ee6 336d5 |
Quadratic twists by: -4 -3 -11 |