Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360g |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1889280 = 210 · 32 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2461,47821] |
[a1,a2,a3,a4,a6] |
Generators |
[4:195:1] [25:36:1] |
Generators of the group modulo torsion |
j |
1610404796416/1845 |
j-invariant |
L |
7.1064002884749 |
L(r)(E,1)/r! |
Ω |
2.2208841014941 |
Real period |
R |
3.1998069073908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360co1 4920c1 118080by1 |
Quadratic twists by: -4 8 -3 |