Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21164c |
Isogeny class |
Conductor |
21164 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-14306864 = -1 · 24 · 11 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 1 3 -4 11- 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115369,-15121316] |
[a1,a2,a3,a4,a6] |
Generators |
[2760925020:133411814668:1157625] |
Generators of the group modulo torsion |
j |
-10613897239677878272/894179 |
j-invariant |
L |
6.669406533948 |
L(r)(E,1)/r! |
Ω |
0.12952302036926 |
Real period |
R |
17.164018449987 |
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 |
84656r2 |
Quadratic twists by: -4 |