Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728l |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
225697499725824 = 214 · 312 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178864,29166784] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:6992:1] |
Generators of the group modulo torsion |
j |
154502321244119857/55101928644 |
j-invariant |
L |
3.0815179094168 |
L(r)(E,1)/r! |
Ω |
0.54854894767183 |
Real period |
R |
2.8087902843451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
966i2 30912ch2 23184bz2 54096cs2 |
Quadratic twists by: -4 8 -3 -7 |