Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pg |
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 |
[85:855:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
8.298439694168 |
L(r)(E,1)/r! |
Ω |
0.55285351522638 |
Real period |
R |
2.5016993597356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gg1 25200fk1 33600ft1 100800le1 |
Quadratic twists by: -4 8 -3 5 |