Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cp |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-45722880000000 = -1 · 214 · 36 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3633,334863] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-504:1] [-57:600:1] |
Generators of the group modulo torsion |
j |
-20720464/178605 |
j-invariant |
L |
9.4451668046298 |
L(r)(E,1)/r! |
Ω |
0.54647987832251 |
Real period |
R |
0.36007603616406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ff2 2100b2 100800ei2 6720o2 |
Quadratic twists by: -4 8 -3 5 |