Atkin-Lehner |
2- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680w |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
23072000 = 28 · 53 · 7 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 2 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
268435456/90125 |
j-invariant |
L |
3.9920782287814 |
L(r)(E,1)/r! |
Ω |
1.6133153646592 |
Real period |
R |
0.41240936895576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420c1 |
Quadratic twists by: -4 |