Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984be |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12319064064 = -1 · 217 · 33 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,-5040] |
[a1,a2,a3,a4,a6] |
Generators |
[471:1925:27] |
Generators of the group modulo torsion |
j |
657018/3481 |
j-invariant |
L |
7.1768138725561 |
L(r)(E,1)/r! |
Ω |
0.63619190500682 |
Real period |
R |
5.6404473367824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984b2 8496a2 33984bb2 |
Quadratic twists by: -4 8 -3 |