Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20468f |
Isogeny class |
Conductor |
20468 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-67425112496 = -1 · 24 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 1 7- 4 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,275,12278] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:49:1] |
Generators of the group modulo torsion |
j |
143225913344/4214069531 |
j-invariant |
L |
4.5511649718344 |
L(r)(E,1)/r! |
Ω |
0.82766565442694 |
Real period |
R |
0.22911651922748 |
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 |
81872o1 |
Quadratic twists by: -4 |