Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bc |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
325791541297152 = 216 · 38 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24193,-1167265] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:432:1] |
Generators of the group modulo torsion |
j |
23896313594500/4971184407 |
j-invariant |
L |
7.007069194695 |
L(r)(E,1)/r! |
Ω |
0.38841556343091 |
Real period |
R |
1.127508436553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cm2 7896d2 |
Quadratic twists by: -4 8 |