Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678j |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
16988832 = 25 · 33 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3581,83365] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:320:1] |
Generators of the group modulo torsion |
j |
188043882093171/629216 |
j-invariant |
L |
5.2426308771413 |
L(r)(E,1)/r! |
Ω |
1.9169335224622 |
Real period |
R |
0.54698097933073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53424u2 6678a2 46746y2 |
Quadratic twists by: -4 -3 -7 |