Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160br |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
104509440000 = 215 · 36 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988,60912] |
[a1,a2,a3,a4,a6] |
Generators |
[61:325:1] |
Generators of the group modulo torsion |
j |
123505992/4375 |
j-invariant |
L |
5.2245141825897 |
L(r)(E,1)/r! |
Ω |
1.0527361755371 |
Real period |
R |
2.4813976682829 |
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 |
20160bg3 10080cf3 2240k3 100800dx4 |
Quadratic twists by: -4 8 -3 5 |