Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fk |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1020610974797568 = 28 · 38 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1991055,1081365626] |
[a1,a2,a3,a4,a6] |
Generators |
[-638:45738:1] |
Generators of the group modulo torsion |
j |
2640279346000/3087 |
j-invariant |
L |
6.484055617417 |
L(r)(E,1)/r! |
Ω |
0.41602439113662 |
Real period |
R |
2.597626384557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30492n4 40656br4 1008j4 |
Quadratic twists by: -4 -3 -11 |