Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11088u |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2694384 = -1 · 24 · 37 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-79] |
[a1,a2,a3,a4,a6] |
Generators |
[16:63:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
4.2385565461282 |
L(r)(E,1)/r! |
Ω |
1.1529174519445 |
Real period |
R |
1.8381873476629 |
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 |
5544f1 44352eu1 3696f1 77616bm1 |
Quadratic twists by: -4 8 -3 -7 |