Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200n |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-13484800 = -1 · 28 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
-138240/2107 |
j-invariant |
L |
4.8151611009479 |
L(r)(E,1)/r! |
Ω |
1.8901734840177 |
Real period |
R |
0.63686761313118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400e1 60200e1 |
Quadratic twists by: -4 5 |