Atkin-Lehner |
2- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424w |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-4519264256 = -1 · 215 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- -3 1 -5 4 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,-158] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] [31:206:1] |
Generators of the group modulo torsion |
j |
1902014919/1103336 |
j-invariant |
L |
4.7852516538945 |
L(r)(E,1)/r! |
Ω |
0.81712531183783 |
Real period |
R |
0.73202536755532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678c1 85696bz1 |
Quadratic twists by: -4 8 |