Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
57480192 = 210 · 36 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-936,11016] |
[a1,a2,a3,a4,a6] |
Generators |
[34:136:1] |
Generators of the group modulo torsion |
j |
121485312/77 |
j-invariant |
L |
5.1204302604222 |
L(r)(E,1)/r! |
Ω |
1.9605253710033 |
Real period |
R |
2.6117643444711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352dz1 5544j1 4928m1 |
Quadratic twists by: -4 8 -3 |