Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682o |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-11749096611884808 = -1 · 23 · 320 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22270,5050185] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:1635:1] |
Generators of the group modulo torsion |
j |
1675618386734375/16116730606152 |
j-invariant |
L |
7.0519036312225 |
L(r)(E,1)/r! |
Ω |
0.29519653620679 |
Real period |
R |
1.9907368951089 |
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 |
93456bv2 3894b2 128502l2 |
Quadratic twists by: -4 -3 -11 |