Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266r |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
318556057047102 = 2 · 314 · 7 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19458,599886] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3312:1] |
Generators of the group modulo torsion |
j |
1117643600358433/436976758638 |
j-invariant |
L |
2.516678850222 |
L(r)(E,1)/r! |
Ω |
0.49437030327952 |
Real period |
R |
2.545337810063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422u3 |
Quadratic twists by: -3 |