Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810d |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4379031733587750 = 2 · 34 · 53 · 178 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56994,-4162874] |
[a1,a2,a3,a4,a6] |
Generators |
[-11596:36033:64] |
Generators of the group modulo torsion |
j |
20473880895487887769/4379031733587750 |
j-invariant |
L |
4.4208646933728 |
L(r)(E,1)/r! |
Ω |
0.31367180500965 |
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 |
126480t3 47430bj3 79050bn3 |
Quadratic twists by: -4 -3 5 |