Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920b |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
85742578125000000 = 26 · 32 · 514 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266626,51172876] |
[a1,a2,a3,a4,a6] |
j |
32753133768744220096/1339727783203125 |
j-invariant |
L |
2.0260487543732 |
L(r)(E,1)/r! |
Ω |
0.33767479239553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13920k1 27840dw2 41760bd1 69600bq1 |
Quadratic twists by: -4 8 -3 5 |