Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33984k |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-546496644614455296 = -1 · 220 · 36 · 595 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 2 6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66228,34957168] |
[a1,a2,a3,a4,a6] |
j |
168105213359/2859697196 |
j-invariant |
L |
3.9135568156235 |
L(r)(E,1)/r! |
Ω |
0.21741982308966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33984bv2 1062d2 3776f2 |
Quadratic twists by: -4 8 -3 |