Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488bf |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
2117056870656 = 28 · 314 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6159,172370] |
[a1,a2,a3,a4,a6] |
Generators |
[7:360:1] |
Generators of the group modulo torsion |
j |
138448046032/11343969 |
j-invariant |
L |
8.054823459321 |
L(r)(E,1)/r! |
Ω |
0.8057192073009 |
Real period |
R |
2.4992650325821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496a1 |
Quadratic twists by: -3 |