Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293i |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33320 |
Modular degree for the optimal curve |
Δ |
47784314853 = 36 · 116 · 37 |
Discriminant |
Eigenvalues |
-2 3- 2 1 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1089,8984] |
[a1,a2,a3,a4,a6] |
Generators |
[4:68:1] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
3.6219567911373 |
L(r)(E,1)/r! |
Ω |
1.0421885286728 |
Real period |
R |
3.4753374187984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4477a1 333d1 |
Quadratic twists by: -3 -11 |