Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bw |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3535724119191264 = 25 · 38 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4740318,3973642420] |
[a1,a2,a3,a4,a6] |
Generators |
[1221:1606:1] |
Generators of the group modulo torsion |
j |
137350557323428177/41225184 |
j-invariant |
L |
3.9497246317113 |
L(r)(E,1)/r! |
Ω |
0.35706077238949 |
Real period |
R |
2.765442818929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042cj2 18018g2 |
Quadratic twists by: -3 -7 |