Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271b |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.660269509532E+24 |
Discriminant |
Eigenvalues |
-1 3+ -4 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49966950,-177740532324] |
[a1,a2,a3,a4,a6] |
Generators |
[1532726588512654045:-172854588903450681964:93855196496125] |
Generators of the group modulo torsion |
j |
-116340772335201233/47730591665289 |
j-invariant |
L |
1.3800161324768 |
L(r)(E,1)/r! |
Ω |
0.027831456038493 |
Real period |
R |
24.792381156203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33813h2 11271e2 |
Quadratic twists by: -3 17 |