Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810d |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13123535156250 = 2 · 3 · 512 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-287014,59159462] |
[a1,a2,a3,a4,a6] |
Generators |
[582324:55161931:64] |
Generators of the group modulo torsion |
j |
2614753668092340287449/13123535156250 |
j-invariant |
L |
4.4208646933728 |
L(r)(E,1)/r! |
Ω |
0.62734361001929 |
Real period |
R |
7.0469589914798 |
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 |
126480t4 47430bj4 79050bn4 |
Quadratic twists by: -4 -3 5 |