Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3185a |
Isogeny class |
Conductor |
3185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1193457927025 = 52 · 710 · 132 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3513,-59608] |
[a1,a2,a3,a4,a6] |
j |
40743095121/10144225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
50960t2 28665bo2 15925n2 455b2 |
Quadratic twists by: -4 -3 5 -7 |