Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cq |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
423360000000000 = 215 · 33 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1412033,-646295937] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:21:1] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
7.3339366303943 |
L(r)(E,1)/r! |
Ω |
0.13849635794072 |
Real period |
R |
2.2064168146855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600a4 16800g2 100800el4 6720a3 |
Quadratic twists by: -4 8 -3 5 |