Atkin-Lehner |
2- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
32704f |
Isogeny class |
Conductor |
32704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8573157376 = -1 · 224 · 7 · 73 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,511,511] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] [17:120:1] |
Generators of the group modulo torsion |
j |
56181887/32704 |
j-invariant |
L |
5.4416337740199 |
L(r)(E,1)/r! |
Ω |
0.78760984479173 |
Real period |
R |
6.9090474300232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32704c1 8176c1 |
Quadratic twists by: -4 8 |