Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4040b |
Isogeny class |
Conductor |
4040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2663946265600 = -1 · 210 · 52 · 1014 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2867,-98274] |
[a1,a2,a3,a4,a6] |
Generators |
[38382666:868643425:74088] |
Generators of the group modulo torsion |
j |
-2545111623204/2601510025 |
j-invariant |
L |
4.069097326473 |
L(r)(E,1)/r! |
Ω |
0.31337825461364 |
Real period |
R |
12.984619278991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8080b4 32320a3 36360q3 20200g4 |
Quadratic twists by: -4 8 -3 5 |