Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194bx |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
33755242752 = 28 · 310 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-851,3827] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:94:1] |
Generators of the group modulo torsion |
j |
93391282153/46303488 |
j-invariant |
L |
8.0213736489808 |
L(r)(E,1)/r! |
Ω |
1.0326635668231 |
Real period |
R |
0.97095679399965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398t1 |
Quadratic twists by: -3 |