Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880j |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15544320 |
Modular degree for the optimal curve |
Δ |
4.888668897E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1669913643,-26265709270442] |
[a1,a2,a3,a4,a6] |
j |
689887483592546451769875364/65488212890625 |
j-invariant |
L |
3.0229852012469 |
L(r)(E,1)/r! |
Ω |
0.02361707188365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bf1 15960p1 |
Quadratic twists by: -4 -3 |