Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870j |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-67110948166111380 = -1 · 22 · 34 · 5 · 2310 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3956,12463886] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1691:1] |
Generators of the group modulo torsion |
j |
46268279/453342420 |
j-invariant |
L |
3.6593256129537 |
L(r)(E,1)/r! |
Ω |
0.27417508062464 |
Real period |
R |
1.6683343379607 |
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 |
126960z3 47610cd3 79350cd3 690f4 |
Quadratic twists by: -4 -3 5 -23 |