Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120z |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-385560000 = -1 · 26 · 34 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[1:30:1] |
Generators of the group modulo torsion |
j |
-2320940224/6024375 |
j-invariant |
L |
8.4189044487518 |
L(r)(E,1)/r! |
Ω |
1.4935469724679 |
Real period |
R |
0.70460660126494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120o1 114240fd1 |
Quadratic twists by: -4 8 |