Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800by |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2509940680000 = 26 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9783,367837] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:845:1] |
Generators of the group modulo torsion |
j |
2588953638400/62748517 |
j-invariant |
L |
3.6768143520855 |
L(r)(E,1)/r! |
Ω |
0.81175819765652 |
Real period |
R |
0.21568787136837 |
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 |
20800bu1 10400p1 20800e1 |
Quadratic twists by: -4 8 5 |