Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650l |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40000 |
Modular degree for the optimal curve |
Δ |
-1039062500 = -1 · 22 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 2 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-723201,-236780952] |
[a1,a2,a3,a4,a6] |
Generators |
[8015337:611435416:1331] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
3.5416606091986 |
L(r)(E,1)/r! |
Ω |
0.081856821400184 |
Real period |
R |
10.816632470628 |
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 |
53200dr1 59850ge1 6650bi1 46550bf1 |
Quadratic twists by: -4 -3 5 -7 |