Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9860b |
Isogeny class |
Conductor |
9860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
408808418000 = 24 · 53 · 172 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11761,486060] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:986:1] |
Generators of the group modulo torsion |
j |
11245361097293824/25550526125 |
j-invariant |
L |
1.8667274733263 |
L(r)(E,1)/r! |
Ω |
0.94815237033367 |
Real period |
R |
0.98440268238182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39440d1 88740n1 49300m1 |
Quadratic twists by: -4 -3 5 |