Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824z |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5961886831300608 = 212 · 318 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47163,-1319510] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:680:1] |
Generators of the group modulo torsion |
j |
3885442650361/1996623837 |
j-invariant |
L |
7.6686180197381 |
L(r)(E,1)/r! |
Ω |
0.34240908757883 |
Real period |
R |
2.7995087958832 |
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 |
1989d2 127296dj2 10608x2 |
Quadratic twists by: -4 8 -3 |