Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040p |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9797760000 = 210 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4107,101194] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:450:1] |
Generators of the group modulo torsion |
j |
10262905636/13125 |
j-invariant |
L |
3.8942539361866 |
L(r)(E,1)/r! |
Ω |
1.2879710973812 |
Real period |
R |
0.75588923231751 |
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 |
2520j3 20160dv4 1680f3 25200bt4 |
Quadratic twists by: -4 8 -3 5 |