Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544j |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
898128 = 24 · 36 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234,1377] |
[a1,a2,a3,a4,a6] |
j |
121485312/77 |
j-invariant |
L |
2.7726015690494 |
L(r)(E,1)/r! |
Ω |
2.7726015690494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11088l1 44352cc1 616e1 38808bh1 |
Quadratic twists by: -4 8 -3 -7 |