Atkin-Lehner |
2- 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886bk |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6614784 |
Modular degree for the optimal curve |
Δ |
-8.6994911626209E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2313583,1961544641] |
[a1,a2,a3,a4,a6] |
j |
-52802213121625/33540304392 |
j-invariant |
L |
5.2579703757124 |
L(r)(E,1)/r! |
Ω |
0.14605473958064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886t1 |
Quadratic twists by: -11 |