Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
64800696812544 = 210 · 36 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20691,-1078110] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:252:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
4.4814180586786 |
L(r)(E,1)/r! |
Ω |
0.39971910809641 |
Real period |
R |
1.4014272528436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102935 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60984ch2 13552c2 1008h2 |
Quadratic twists by: -4 -3 -11 |