Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984bf |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4490298851328 = 216 · 39 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,49680] |
[a1,a2,a3,a4,a6] |
Generators |
[10:80:1] |
Generators of the group modulo torsion |
j |
7443468/3481 |
j-invariant |
L |
6.7345673759493 |
L(r)(E,1)/r! |
Ω |
0.6924313284519 |
Real period |
R |
2.4314928785088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984c2 8496b2 33984bc2 |
Quadratic twists by: -4 8 -3 |