Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360w |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
309841920 = 212 · 32 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,537] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:24:1] |
Generators of the group modulo torsion |
j |
171879616/75645 |
j-invariant |
L |
5.5796591860261 |
L(r)(E,1)/r! |
Ω |
1.5493628918069 |
Real period |
R |
1.8006301866175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bl2 19680bb1 118080bc2 |
Quadratic twists by: -4 8 -3 |