Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084j |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.358335091948E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,761708,286104980] |
[a1,a2,a3,a4,a6] |
Generators |
[971:44070:1] |
Generators of the group modulo torsion |
j |
7909612346288/10289870721 |
j-invariant |
L |
8.3013402371399 |
L(r)(E,1)/r! |
Ω |
0.13216235136763 |
Real period |
R |
5.2343072436032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652a2 |
Quadratic twists by: 17 |