Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bk |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-1.0002930997483E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3427320,-2489148272] |
[a1,a2,a3,a4,a6] |
Generators |
[70688631412656:5777020686018668:9814089221] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
5.168098080071 |
L(r)(E,1)/r! |
Ω |
0.055405594220681 |
Real period |
R |
23.31938747686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672bl1 97344ei1 16224h1 48672k1 |
Quadratic twists by: -4 8 -3 13 |