Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600fg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
790272000000 = 214 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182833,30151537] |
[a1,a2,a3,a4,a6] |
Generators |
[241:168:1] |
Generators of the group modulo torsion |
j |
2640279346000/3087 |
j-invariant |
L |
3.9877991005519 |
L(r)(E,1)/r! |
Ω |
0.75574583708279 |
Real period |
R |
0.43972004264745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cn4 8400ci4 100800oe4 1344p4 |
Quadratic twists by: -4 8 -3 5 |