Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gm |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7.097730431222E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129722043,-568536610070] |
[a1,a2,a3,a4,a6] |
Generators |
[675730:194500845:8] |
Generators of the group modulo torsion |
j |
45637459887836881/13417633152 |
j-invariant |
L |
10.7714008285 |
L(r)(E,1)/r! |
Ω |
0.044735652091259 |
Real period |
R |
5.0162269266883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bm2 40656dp2 11088bk2 |
Quadratic twists by: -4 -3 -11 |