Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040p |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2057529600 = 28 · 38 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,646] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
3.8942539361866 |
L(r)(E,1)/r! |
Ω |
1.2879710973812 |
Real period |
R |
1.511778464635 |
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 |
2520j2 20160dv2 1680f2 25200bt2 |
Quadratic twists by: -4 8 -3 5 |