Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gy |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-637875000000 = -1 · 26 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,31250] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:2375:27] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
4.5982976928729 |
L(r)(E,1)/r! |
Ω |
0.62419190774913 |
Real period |
R |
3.6834005827853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ps1 1575i1 11200bf1 100800ib1 |
Quadratic twists by: -4 8 -3 5 |