Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3185a |
Isogeny class |
Conductor |
3185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44084499735185 = 5 · 714 · 13 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19438,997812] |
[a1,a2,a3,a4,a6] |
j |
6903498885921/374712065 |
j-invariant |
L |
0.63145434511237 |
L(r)(E,1)/r! |
Ω |
0.63145434511237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50960t4 28665bo4 15925n3 455b3 |
Quadratic twists by: -4 -3 5 -7 |