Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13294b |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-63243506318 = -1 · 2 · 173 · 235 |
Discriminant |
Eigenvalues |
2+ -1 -2 3 0 -6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-541,-13261] |
[a1,a2,a3,a4,a6] |
Generators |
[35:93:1] |
Generators of the group modulo torsion |
j |
-3574558889/12872686 |
j-invariant |
L |
2.3129146447036 |
L(r)(E,1)/r! |
Ω |
0.45373655010813 |
Real period |
R |
2.5487418240303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106352s2 119646cp2 13294c2 |
Quadratic twists by: -4 -3 17 |