Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bu |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-3.0819453394148E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547951,21359191887] |
[a1,a2,a3,a4,a6] |
j |
-610325920583424/55240493 |
j-invariant |
L |
4.7887487806726 |
L(r)(E,1)/r! |
Ω |
0.19953119917453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968i1 60984l1 5544a1 |
Quadratic twists by: -4 -3 -11 |