Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630z |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
-25007954601383520 = -1 · 25 · 3 · 5 · 139 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47905,6453945] |
[a1,a2,a3,a4,a6] |
Generators |
[522:12921:1] |
Generators of the group modulo torsion |
j |
12158099101398341519/25007954601383520 |
j-invariant |
L |
6.6738026068065 |
L(r)(E,1)/r! |
Ω |
0.26125622382548 |
Real period |
R |
0.56766771877851 |
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 |
53040by2 19890m2 33150e2 86190y2 |
Quadratic twists by: -4 -3 5 13 |