Atkin-Lehner |
2+ 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682a |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11008509336 = -1 · 23 · 33 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318,5580] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:90:1] [7:57:1] |
Generators of the group modulo torsion |
j |
-131949968571/407722568 |
j-invariant |
L |
4.4131174221396 |
L(r)(E,1)/r! |
Ω |
1.1237962577492 |
Real period |
R |
0.98174321895724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456u2 11682n2 128502bi2 |
Quadratic twists by: -4 -3 -11 |