Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360j |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
132840000000000 = 212 · 34 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13545,250857] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:900:1] [-31:800:1] |
Generators of the group modulo torsion |
j |
67101596779456/32431640625 |
j-invariant |
L |
7.951650987329 |
L(r)(E,1)/r! |
Ω |
0.51992653462984 |
Real period |
R |
0.76468986075024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bf2 19680h1 118080bh2 |
Quadratic twists by: -4 8 -3 |