Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18514484803584 = 211 · 36 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325611,-71514630] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:10:1] |
Generators of the group modulo torsion |
j |
1443468546/7 |
j-invariant |
L |
4.4814180586786 |
L(r)(E,1)/r! |
Ω |
0.1998595540482 |
Real period |
R |
2.8028545056873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984ch4 13552c4 1008h4 |
Quadratic twists by: -4 -3 -11 |