Atkin-Lehner |
3+ 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19995d |
Isogeny class |
Conductor |
19995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116070975 = 34 · 52 · 31 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125,92] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:26:1] |
Generators of the group modulo torsion |
j |
216108018001/116070975 |
j-invariant |
L |
2.9202509293278 |
L(r)(E,1)/r! |
Ω |
1.6333804093123 |
Real period |
R |
0.89392860128564 |
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 |
59985h2 99975h2 |
Quadratic twists by: -3 5 |