Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fu |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1129087341261766656 = 214 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287859,30333490] |
[a1,a2,a3,a4,a6] |
Generators |
[617:9360:1] |
Generators of the group modulo torsion |
j |
498677257/213444 |
j-invariant |
L |
7.5753164763747 |
L(r)(E,1)/r! |
Ω |
0.24808812165678 |
Real period |
R |
3.8168476146837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15246l2 40656dj2 11088bm2 |
Quadratic twists by: -4 -3 -11 |