Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240l |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26005432644000000 = 28 · 34 · 56 · 174 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433820,-109850400] |
[a1,a2,a3,a4,a6] |
Generators |
[1123:28644:1] |
Generators of the group modulo torsion |
j |
35270649564006962896/101583721265625 |
j-invariant |
L |
10.660062142868 |
L(r)(E,1)/r! |
Ω |
0.18605753598835 |
Real period |
R |
4.7745365819698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997532 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480e2 |
Quadratic twists by: -4 |