Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fl |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-123200 = -1 · 26 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,22] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-40000/77 |
j-invariant |
L |
4.2897209656443 |
L(r)(E,1)/r! |
Ω |
2.94769322307 |
Real period |
R |
1.4552806689014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200en1 61600bq1 123200gt1 |
Quadratic twists by: -4 8 5 |