Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160br |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3657830400 = 212 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-468,-2592] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] |
Generators of the group modulo torsion |
j |
3796416/1225 |
j-invariant |
L |
5.2245141825897 |
L(r)(E,1)/r! |
Ω |
1.0527361755371 |
Real period |
R |
1.2406988341415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160bg2 10080cf1 2240k2 100800dx2 |
Quadratic twists by: -4 8 -3 5 |