Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bn |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-804988800 = -1 · 27 · 33 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83,1361] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-50:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
5.9449536737005 |
L(r)(E,1)/r! |
Ω |
1.3492360527069 |
Real period |
R |
0.20981727512619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400gx1 34650k1 11550bi1 80850gq1 |
Quadratic twists by: -4 -3 5 -7 |