Atkin-Lehner |
3+ 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915g |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3936501331875 = 34 · 54 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6320,-170818] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:146:1] [-48:181:1] |
Generators of the group modulo torsion |
j |
27917674655834881/3936501331875 |
j-invariant |
L |
4.7644869169868 |
L(r)(E,1)/r! |
Ω |
0.54047376416759 |
Real period |
R |
0.55096186356116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745n3 |
Quadratic twists by: -3 |