Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ly |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-326592000000 = -1 · 212 · 36 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-16000] |
[a1,a2,a3,a4,a6] |
Generators |
[14:88:1] |
Generators of the group modulo torsion |
j |
8000/7 |
j-invariant |
L |
5.8787275557016 |
L(r)(E,1)/r! |
Ω |
0.53050209318215 |
Real period |
R |
2.7703601990448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nz1 50400bd1 11200cb1 4032bg1 |
Quadratic twists by: -4 8 -3 5 |