Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680bz |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-33324118917120000 = -1 · 217 · 310 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79775,-1361377] |
[a1,a2,a3,a4,a6] |
Generators |
[26:855:1] [71:2160:1] |
Generators of the group modulo torsion |
j |
428359872306382/254242850625 |
j-invariant |
L |
12.072337375103 |
L(r)(E,1)/r! |
Ω |
0.21563988683629 |
Real period |
R |
0.69979733064642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680m2 19920c2 |
Quadratic twists by: -4 8 |