Atkin-Lehner |
3+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48807d |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5120195949 = 33 · 113 · 173 · 29 |
Discriminant |
Eigenvalues |
0 3+ -3 -1 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-504,2667] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:557:8] |
Generators of the group modulo torsion |
j |
524386566144/189636887 |
j-invariant |
L |
2.1927796693317 |
L(r)(E,1)/r! |
Ω |
1.2482459706691 |
Real period |
R |
0.87834438117328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48807a2 |
Quadratic twists by: -3 |