Atkin-Lehner |
2+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950h |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
705113904500000 = 25 · 56 · 172 · 474 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23826,-611452] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:651:1] |
Generators of the group modulo torsion |
j |
95726216868625/45127289888 |
j-invariant |
L |
1.1388222890116 |
L(r)(E,1)/r! |
Ω |
0.40235701648891 |
Real period |
R |
0.70759440145236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1598a2 |
Quadratic twists by: 5 |