Atkin-Lehner |
2+ 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6890b |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-149044480 = -1 · 28 · 5 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -5 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39,-598] |
[a1,a2,a3,a4,a6] |
Generators |
[23:92:1] |
Generators of the group modulo torsion |
j |
-6321363049/149044480 |
j-invariant |
L |
1.2756251498633 |
L(r)(E,1)/r! |
Ω |
0.79191650830269 |
Real period |
R |
0.26846793748441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55120n1 62010cg1 34450l1 89570be1 |
Quadratic twists by: -4 -3 5 13 |