Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280u |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
8641624320 = 28 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,2646] |
[a1,a2,a3,a4,a6] |
Generators |
[25:64:1] |
Generators of the group modulo torsion |
j |
11664/5 |
j-invariant |
L |
6.5094894364037 |
L(r)(E,1)/r! |
Ω |
1.1772914162576 |
Real period |
R |
2.7646041356085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640k1 35280k1 35280j1 |
Quadratic twists by: -4 -3 -7 |