Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648c |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-1.2939332010497E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 0 7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17328120,27774738828] |
[a1,a2,a3,a4,a6] |
Generators |
[41563938:70792461:17576] |
Generators of the group modulo torsion |
j |
-16543192290482/3720087 |
j-invariant |
L |
6.2967669269022 |
L(r)(E,1)/r! |
Ω |
0.18027758643815 |
Real period |
R |
5.8213623515082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296bf1 60648bg1 |
Quadratic twists by: -4 -19 |