Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6555c |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42968025 = 32 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-106,-322] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:13:1] |
Generators of the group modulo torsion |
j |
131794519969/42968025 |
j-invariant |
L |
1.3336484386804 |
L(r)(E,1)/r! |
Ω |
1.5264743540522 |
Real period |
R |
0.87367890272121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880cl2 19665y2 32775bc2 124545bc2 |
Quadratic twists by: -4 -3 5 -19 |