Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640j |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5671380602880 = -1 · 212 · 34 · 5 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305,114495] |
[a1,a2,a3,a4,a6] |
Generators |
[13:336:1] |
Generators of the group modulo torsion |
j |
-768575296/1384614405 |
j-invariant |
L |
6.9361395662532 |
L(r)(E,1)/r! |
Ω |
0.61159539306209 |
Real period |
R |
2.8352648028977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20640s4 41280j1 61920bp2 103200bs2 |
Quadratic twists by: -4 8 -3 5 |