Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830o |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35611282262656800 = 25 · 38 · 52 · 74 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-361044,83095600] |
[a1,a2,a3,a4,a6] |
Generators |
[381:667:1] |
Generators of the group modulo torsion |
j |
7139655496778995009/48849495559200 |
j-invariant |
L |
3.9983078480018 |
L(r)(E,1)/r! |
Ω |
0.3686315914026 |
Real period |
R |
2.7115878978173 |
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 |
8610j3 129150cy3 |
Quadratic twists by: -3 5 |