Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642bb |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
23580480 |
Modular degree for the optimal curve |
Δ |
2.3946252738615E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-614870396,5863675137552] |
[a1,a2,a3,a4,a6] |
Generators |
[9694:897442:1] |
Generators of the group modulo torsion |
j |
119931421703350028723809/111711036309313536 |
j-invariant |
L |
9.9332848570339 |
L(r)(E,1)/r! |
Ω |
0.06700692090542 |
Real period |
R |
0.9626147396321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48642l1 |
Quadratic twists by: -11 |