Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59220m |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
50366610000 = 24 · 37 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-3103] |
[a1,a2,a3,a4,a6] |
Generators |
[46:225:1] [-17:90:1] |
Generators of the group modulo torsion |
j |
8077950976/4318125 |
j-invariant |
L |
9.6598760237558 |
L(r)(E,1)/r! |
Ω |
0.91488153181444 |
Real period |
R |
0.87988405127179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740m1 |
Quadratic twists by: -3 |