Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200co |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-114688000000 = -1 · 220 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-18463] |
[a1,a2,a3,a4,a6] |
Generators |
[193437:3124736:729] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
6.386617477606 |
L(r)(E,1)/r! |
Ω |
0.41915713359968 |
Real period |
R |
7.6184048482705 |
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 |
11200j1 2800v1 100800mz1 448f1 |
Quadratic twists by: -4 8 -3 5 |