Atkin-Lehner |
5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5185a |
Isogeny class |
Conductor |
5185 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2500905030625 = -1 · 54 · 172 · 614 |
Discriminant |
Eigenvalues |
-1 0 5- 0 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397,76246] |
[a1,a2,a3,a4,a6] |
j |
-6903498885921/2500905030625 |
j-invariant |
L |
1.3216625972038 |
L(r)(E,1)/r! |
Ω |
0.66083129860192 |
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 |
82960e3 46665c3 25925a3 88145a3 |
Quadratic twists by: -4 -3 5 17 |