Atkin-Lehner |
3+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48807d |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
89769104469 = 39 · 11 · 17 · 293 |
Discriminant |
Eigenvalues |
0 3+ -3 -1 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17334,-878290] |
[a1,a2,a3,a4,a6] |
Generators |
[-606:77:8] |
Generators of the group modulo torsion |
j |
29263670378496/4560743 |
j-invariant |
L |
2.1927796693317 |
L(r)(E,1)/r! |
Ω |
0.41608199022302 |
Real period |
R |
2.6350331435198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48807a1 |
Quadratic twists by: -3 |