Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984m |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1.1097923542812E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,366333,-499612993] |
[a1,a2,a3,a4,a6] |
j |
350208169805056/7148520419229 |
j-invariant |
L |
0.7290864437241 |
L(r)(E,1)/r! |
Ω |
0.091135805554355 |
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 |
121968bq1 20328n1 60984bz1 |
Quadratic twists by: -4 -3 -11 |