Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5580d |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56497500000000 = 28 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10863,-243162] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:360:1] |
Generators of the group modulo torsion |
j |
759636032976/302734375 |
j-invariant |
L |
3.5136256648078 |
L(r)(E,1)/r! |
Ω |
0.48399928375407 |
Real period |
R |
3.6297839508717 |
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 |
22320bp2 89280cg2 620b2 27900d2 |
Quadratic twists by: -4 8 -3 5 |