Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952s |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0175763126233E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22464888,-40687194276] |
[a1,a2,a3,a4,a6] |
Generators |
[7526:465256:1] |
Generators of the group modulo torsion |
j |
253674278705546500/2058765672717 |
j-invariant |
L |
4.8580808662547 |
L(r)(E,1)/r! |
Ω |
0.069380282194628 |
Real period |
R |
5.8350882900459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304b2 |
Quadratic twists by: 13 |