Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20910k |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
5781196800 = 212 · 34 · 52 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-555,3225] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:98:1] |
Generators of the group modulo torsion |
j |
18908260092721/5781196800 |
j-invariant |
L |
6.994551449822 |
L(r)(E,1)/r! |
Ω |
1.2502302127403 |
Real period |
R |
0.46621756660926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62730k1 104550x1 |
Quadratic twists by: -3 5 |