Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600dh |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-225280000 = -1 · 215 · 54 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-737] |
[a1,a2,a3,a4,a6] |
j |
-200/11 |
j-invariant |
L |
1.5527337266988 |
L(r)(E,1)/r! |
Ω |
0.7763668633494 |
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 |
17600cu1 8800j1 17600ck1 |
Quadratic twists by: -4 8 5 |