Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bb |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.879463646744E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21117856,75808358656] |
[a1,a2,a3,a4,a6] |
Generators |
[8288:685584:1] |
Generators of the group modulo torsion |
j |
-3247061909089/5859375000 |
j-invariant |
L |
5.6399780790804 |
L(r)(E,1)/r! |
Ω |
0.074429588910596 |
Real period |
R |
3.157334215789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999529281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bh2 126960bv2 |
Quadratic twists by: -4 -23 |