Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424k |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
930968436736 = 216 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 -4 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2443,-2246] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:206:1] |
Generators of the group modulo torsion |
j |
393671672289/227287216 |
j-invariant |
L |
1.585129417628 |
L(r)(E,1)/r! |
Ω |
0.74128068812859 |
Real period |
R |
0.35639433281109 |
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 |
2678j1 85696cf1 |
Quadratic twists by: -4 8 |