Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dy |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
38041436160 = 214 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,2914] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:112:1] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
7.6923833792677 |
L(r)(E,1)/r! |
Ω |
1.0116665246558 |
Real period |
R |
1.9009187295325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190z1 7280p1 |
Quadratic twists by: -4 -3 |