Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810d |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45148320562500 = 22 · 32 · 56 · 174 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18244,890126] |
[a1,a2,a3,a4,a6] |
Generators |
[61:41:1] |
Generators of the group modulo torsion |
j |
671505668344707769/45148320562500 |
j-invariant |
L |
4.4208646933728 |
L(r)(E,1)/r! |
Ω |
0.62734361001929 |
Real period |
R |
3.5234794957399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480t2 47430bj2 79050bn2 |
Quadratic twists by: -4 -3 5 |