Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600dk |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-85184000000000 = -1 · 215 · 59 · 113 |
Discriminant |
Eigenvalues |
2- 3 5- 3 11- 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,650000] |
[a1,a2,a3,a4,a6] |
j |
-2628072/1331 |
j-invariant |
L |
6.7770234316535 |
L(r)(E,1)/r! |
Ω |
0.56475195263779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600db1 8800ba1 17600dl1 |
Quadratic twists by: -4 8 5 |