Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880u |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
310868381250000 = 24 · 39 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17118,153333] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:675:1] |
Generators of the group modulo torsion |
j |
1761454798848/987109375 |
j-invariant |
L |
5.5849798659122 |
L(r)(E,1)/r! |
Ω |
0.4703726170866 |
Real period |
R |
2.9683806321876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760d1 47880i1 |
Quadratic twists by: -4 -3 |