Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896h |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
780948244127744 = 213 · 7 · 112 · 1034 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148091,21893930] |
[a1,a2,a3,a4,a6] |
Generators |
[239:390:1] |
Generators of the group modulo torsion |
j |
87689937676974417/190661192414 |
j-invariant |
L |
2.0683730101931 |
L(r)(E,1)/r! |
Ω |
0.50504325633107 |
Real period |
R |
4.0954372998754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15862d3 |
Quadratic twists by: -4 |