Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648b |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
2.9156263646209E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3143708,-2128580652] |
[a1,a2,a3,a4,a6] |
Generators |
[8484072500738:390608442932624:2588282117] |
Generators of the group modulo torsion |
j |
41593750000/352947 |
j-invariant |
L |
4.3569055730441 |
L(r)(E,1)/r! |
Ω |
0.11343871670811 |
Real period |
R |
19.20378553101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296be1 60648bc1 |
Quadratic twists by: -4 -19 |