Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086f |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9.7137184980113E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178031196,-901882723248] |
[a1,a2,a3,a4,a6] |
Generators |
[-1960537207806576224719437501:-10575832213041830980026346872:279544083716996383237399] |
Generators of the group modulo torsion |
j |
964526913483831937/15013703061504 |
j-invariant |
L |
5.8876899344987 |
L(r)(E,1)/r! |
Ω |
0.041369968896901 |
Real period |
R |
35.579491718379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121391 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40362bd2 3906h2 |
Quadratic twists by: -3 -31 |