Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650z |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1330000000 = -1 · 27 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10213,396417] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-81:1] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
4.2849412865224 |
L(r)(E,1)/r! |
Ω |
1.3831466546739 |
Real period |
R |
0.2212832845435 |
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 |
53200bx1 59850cb1 1330b1 46550cn1 |
Quadratic twists by: -4 -3 5 -7 |