Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200cm |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2569011200 = -1 · 221 · 52 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,287,-1663] |
[a1,a2,a3,a4,a6] |
Generators |
[13:64:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
3.8553464072515 |
L(r)(E,1)/r! |
Ω |
0.78616019584801 |
Real period |
R |
0.61300267229454 |
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 |
11200e1 2800u1 100800nq1 11200cw1 |
Quadratic twists by: -4 8 -3 5 |