Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594b |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-486098 = -1 · 2 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[93:13:27] |
Generators of the group modulo torsion |
j |
783/578 |
j-invariant |
L |
6.8797659079068 |
L(r)(E,1)/r! |
Ω |
1.3765383228807 |
Real period |
R |
2.4989372956611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28594m1 |
Quadratic twists by: 29 |