Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984cg |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.3834332398924E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-592779,3190249942] |
[a1,a2,a3,a4,a6] |
Generators |
[19419:2704540:1] |
Generators of the group modulo torsion |
j |
-17418812548/3314597517 |
j-invariant |
L |
8.008201940534 |
L(r)(E,1)/r! |
Ω |
0.11273737224844 |
Real period |
R |
8.8792671198478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968bj3 20328m4 5544g4 |
Quadratic twists by: -4 -3 -11 |