Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ce |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-135475200 = -1 · 212 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[16:20:1] |
Generators of the group modulo torsion |
j |
-96768/25 |
j-invariant |
L |
6.9369706657965 |
L(r)(E,1)/r! |
Ω |
0.65418490884906 |
Real period |
R |
1.3254988331036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560f1 70560p1 70560cj1 |
Quadratic twists by: -4 -3 -7 |