Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360m |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2.4981290942242E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54202594683,-4857107285674618] |
[a1,a2,a3,a4,a6] |
Generators |
[-1688568489055881979663905953:-934730000929740711978250416:12565316593472138694073] |
Generators of the group modulo torsion |
j |
23591549011615821530831244445924/33464735165683212890625 |
j-invariant |
L |
7.186409012553 |
L(r)(E,1)/r! |
Ω |
0.0098945163949177 |
Real period |
R |
36.315109888108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120y2 |
Quadratic twists by: -3 |