Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bs |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
468993164062500 = 22 · 34 · 512 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19688,-220219] |
[a1,a2,a3,a4,a6] |
Generators |
[369:6367:1] |
Generators of the group modulo torsion |
j |
54014438633401/30015562500 |
j-invariant |
L |
6.3236392943923 |
L(r)(E,1)/r! |
Ω |
0.4321468767235 |
Real period |
R |
3.6582696966004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400gs2 34650bn2 2310k2 80850gh2 |
Quadratic twists by: -4 -3 5 -7 |