Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800cv |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1100800000000000 = -1 · 219 · 511 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 0 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25300,386000] |
[a1,a2,a3,a4,a6] |
Generators |
[10:800:1] [74:1632:1] |
Generators of the group modulo torsion |
j |
437245479/268750 |
j-invariant |
L |
9.3407434176091 |
L(r)(E,1)/r! |
Ω |
0.30224972629824 |
Real period |
R |
3.8630073929109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bc1 17200w1 13760o1 |
Quadratic twists by: -4 8 5 |