Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680d |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
15129000000 = 26 · 32 · 56 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,-139440] |
[a1,a2,a3,a4,a6] |
j |
232789970236096/236390625 |
j-invariant |
L |
2.2570143129904 |
L(r)(E,1)/r! |
Ω |
0.56425357824759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19680j1 39360di2 59040bu1 98400cr1 |
Quadratic twists by: -4 8 -3 5 |