Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890h |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9589189198850560 = -1 · 29 · 5 · 132 · 536 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26668,-5002902] |
[a1,a2,a3,a4,a6] |
Generators |
[221298:6866213:216] |
Generators of the group modulo torsion |
j |
-2097353529655108921/9589189198850560 |
j-invariant |
L |
1.7999732688848 |
L(r)(E,1)/r! |
Ω |
0.1693784938735 |
Real period |
R |
10.626929238308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55120v4 62010bw4 34450q4 89570q4 |
Quadratic twists by: -4 -3 5 13 |