Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3920a |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-18447363200000 = -1 · 210 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,204644] |
[a1,a2,a3,a4,a6] |
Generators |
[16:490:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
3.9869156789922 |
L(r)(E,1)/r! |
Ω |
0.51594295492475 |
Real period |
R |
1.2879058433807 |
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 |
1960a1 15680dd1 35280ca1 19600b1 |
Quadratic twists by: -4 8 -3 5 |