Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32160t |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1543680000 = -1 · 212 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1021,-13045] |
[a1,a2,a3,a4,a6] |
Generators |
[97:900:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
7.0982507131694 |
L(r)(E,1)/r! |
Ω |
0.42192870886101 |
Real period |
R |
2.102917674271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32160b1 64320m1 96480k1 |
Quadratic twists by: -4 8 -3 |