Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ch |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-3.387936375E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,275172,274477048] |
[a1,a2,a3,a4,a6] |
Generators |
[87436643:44146276173:343] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
4.6838185185754 |
L(r)(E,1)/r! |
Ω |
0.15363267284252 |
Real period |
R |
15.243562557096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960ez1 6120y1 16320bk1 |
Quadratic twists by: -4 8 -3 |