Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ez |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3982970880000000 = -1 · 218 · 34 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27967,2435937] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-2016:1] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
4.134348970101 |
L(r)(E,1)/r! |
Ω |
0.30064875483162 |
Real period |
R |
0.85946409715231 |
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 |
33600ce3 8400cg4 100800nb3 6720bx4 |
Quadratic twists by: -4 8 -3 5 |