Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3920b |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-12293120 = -1 · 210 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,176] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
2.7054801487192 |
L(r)(E,1)/r! |
Ω |
1.8869811774892 |
Real period |
R |
0.23896017803413 |
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 |
1960h1 15680cy1 35280bx1 19600a1 |
Quadratic twists by: -4 8 -3 5 |