Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725v |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-216000421875 = -1 · 38 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1500,31] |
[a1,a2,a3,a4,a6] |
Generators |
[5:87:1] |
Generators of the group modulo torsion |
j |
32768000/18963 |
j-invariant |
L |
5.4159699847692 |
L(r)(E,1)/r! |
Ω |
0.59595627720954 |
Real period |
R |
1.1359830811736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22575e1 2709a1 |
Quadratic twists by: -3 5 |