Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824q |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59802877165824 = 28 · 314 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17031,-770330] |
[a1,a2,a3,a4,a6] |
Generators |
[5106:44954:27] |
Generators of the group modulo torsion |
j |
2927363579728/320445801 |
j-invariant |
L |
5.4599129929191 |
L(r)(E,1)/r! |
Ω |
0.42088468375989 |
Real period |
R |
6.4862338825732 |
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 |
15912j2 127296cc2 10608k2 |
Quadratic twists by: -4 8 -3 |