Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ca |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
367416000000000000 = 215 · 38 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211692,23556976] |
[a1,a2,a3,a4,a6] |
Generators |
[117:625:1] |
Generators of the group modulo torsion |
j |
43919722445768/15380859375 |
j-invariant |
L |
5.7554017983958 |
L(r)(E,1)/r! |
Ω |
0.27713840533224 |
Real period |
R |
1.7306039412257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160co4 10080bn2 6720r4 100800fk3 |
Quadratic twists by: -4 8 -3 5 |