Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768q |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
8431112448 = 28 · 37 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8068,276224] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:666:1] |
Generators of the group modulo torsion |
j |
226900390642000/32934033 |
j-invariant |
L |
4.8004874474865 |
L(r)(E,1)/r! |
Ω |
1.2623547105519 |
Real period |
R |
0.27162885175502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536a1 78144c1 29304b1 107448h1 |
Quadratic twists by: -4 8 -3 -11 |