Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150l |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-2110487546658816000 = -1 · 218 · 33 · 53 · 134 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166285,74540125] |
[a1,a2,a3,a4,a6] |
Generators |
[-465:7415:1] |
Generators of the group modulo torsion |
j |
-4067963094761079821/16883900373270528 |
j-invariant |
L |
2.2269583301578 |
L(r)(E,1)/r! |
Ω |
0.22743644351339 |
Real period |
R |
1.2239454107244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450do1 33150ck1 |
Quadratic twists by: -3 5 |