Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bq |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2000376000 = -1 · 26 · 36 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,362] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
4.2780163564913 |
L(r)(E,1)/r! |
Ω |
0.90020555611565 |
Real period |
R |
1.5840887033812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160du2 315a2 2240m2 100800dw2 |
Quadratic twists by: -4 8 -3 5 |