Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650bj |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-5320000 = -1 · 26 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,217] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:19:1] |
Generators of the group modulo torsion |
j |
-44289025/8512 |
j-invariant |
L |
4.3434237925235 |
L(r)(E,1)/r! |
Ω |
2.3181177695728 |
Real period |
R |
0.93684278027945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53200de1 59850di1 6650c1 46550cy1 |
Quadratic twists by: -4 -3 5 -7 |