Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150cg |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5058288574218750 = 2 · 3 · 518 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184938,-30435258] |
[a1,a2,a3,a4,a6] |
Generators |
[-24422734:54305279:97336] |
Generators of the group modulo torsion |
j |
44769506062996441/323730468750 |
j-invariant |
L |
11.700147495868 |
L(r)(E,1)/r! |
Ω |
0.23032034160057 |
Real period |
R |
12.699863388705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450bf4 6630e3 |
Quadratic twists by: -3 5 |