Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983d |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
616182831633789 = 36 · 72 · 297 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1169568,-486546345] |
[a1,a2,a3,a4,a6] |
Generators |
[3798270:659767707:125] |
Generators of the group modulo torsion |
j |
408023180713/1421 |
j-invariant |
L |
4.7926595517718 |
L(r)(E,1)/r! |
Ω |
0.14517547601379 |
Real period |
R |
8.2532182489167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5887b2 1827d2 |
Quadratic twists by: -3 29 |