Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-264539520000 = -1 · 210 · 310 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,10600] |
[a1,a2,a3,a4,a6] |
Generators |
[5:135:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
6.101780670211 |
L(r)(E,1)/r! |
Ω |
0.62210415752075 |
Real period |
R |
1.6347157138762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pg1 6300t1 33600df1 100800eq1 |
Quadratic twists by: -4 8 -3 5 |