Atkin-Lehner |
2- 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10812d |
Isogeny class |
Conductor |
10812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-80206702848 = -1 · 28 · 38 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1340,23736] |
[a1,a2,a3,a4,a6] |
Generators |
[10:106:1] |
Generators of the group modulo torsion |
j |
-1040212820176/313307433 |
j-invariant |
L |
2.0981992966284 |
L(r)(E,1)/r! |
Ω |
1.0261787979476 |
Real period |
R |
0.6815574117704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43248bd2 32436i2 |
Quadratic twists by: -4 -3 |