Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824k |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-36801770563584 = -1 · 211 · 314 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,861,-291710] |
[a1,a2,a3,a4,a6] |
Generators |
[78:500:1] |
Generators of the group modulo torsion |
j |
47279806/24649677 |
j-invariant |
L |
5.8858411187226 |
L(r)(E,1)/r! |
Ω |
0.3041798893488 |
Real period |
R |
4.8374673382608 |
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 |
15912e2 127296dw2 10608f2 |
Quadratic twists by: -4 8 -3 |