Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cp |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-5826240 = -1 · 26 · 32 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,108] |
[a1,a2,a3,a4,a6] |
j |
45118016/91035 |
j-invariant |
L |
3.3141490844902 |
L(r)(E,1)/r! |
Ω |
1.657074543715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bp1 114240gi2 |
Quadratic twists by: -4 8 |