Atkin-Lehner |
2- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040n |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1330753520096000000 = 211 · 56 · 75 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-782640,-260391988] |
[a1,a2,a3,a4,a6] |
Generators |
[-1810965:7377128:3375] |
Generators of the group modulo torsion |
j |
25886923260626221922/649781992234375 |
j-invariant |
L |
8.7790604338536 |
L(r)(E,1)/r! |
Ω |
0.16075841439339 |
Real period |
R |
9.1017116864242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080p2 |
Quadratic twists by: -4 |