Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3920c |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-36894726400000 = -1 · 211 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 1 -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11776,-568224] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1764:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
4.6001578705705 |
L(r)(E,1)/r! |
Ω |
0.22665918969821 |
Real period |
R |
1.691290301199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1960i1 15680de1 35280bw1 19600e1 |
Quadratic twists by: -4 8 -3 5 |