Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bi |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30965666310896640 = 210 · 3 · 5 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120320,-13692060] |
[a1,a2,a3,a4,a6] |
Generators |
[-195453855:1194697686:857375] |
Generators of the group modulo torsion |
j |
7793764996/1252815 |
j-invariant |
L |
7.643026185293 |
L(r)(E,1)/r! |
Ω |
0.25912522005746 |
Real period |
R |
14.747746635973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bi3 4080a3 |
Quadratic twists by: -4 17 |