Atkin-Lehner |
2- 3+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11076a |
Isogeny class |
Conductor |
11076 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-872035632 = -1 · 24 · 310 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,227,466] |
[a1,a2,a3,a4,a6] |
Generators |
[26824:200541:512] |
Generators of the group modulo torsion |
j |
80494592000/54502227 |
j-invariant |
L |
4.1080343478452 |
L(r)(E,1)/r! |
Ω |
0.99439267758712 |
Real period |
R |
8.2623986287054 |
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 |
44304r1 33228a1 |
Quadratic twists by: -4 -3 |