Atkin-Lehner |
3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743i |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3449926657283E+21 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17064643,-27082432840] |
[a1,a2,a3,a4,a6] |
Generators |
[11992993180875:-360881859575287:2315685267] |
Generators of the group modulo torsion |
j |
13618616013431266375/33330172089159 |
j-invariant |
L |
3.4629320834214 |
L(r)(E,1)/r! |
Ω |
0.07429149967973 |
Real period |
R |
23.306381557788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bd2 |
Quadratic twists by: -7 |