Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680g |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-50791219200 = -1 · 215 · 32 · 52 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,735,7425] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:60:1] [-3:72:1] |
Generators of the group modulo torsion |
j |
1338273208/1550025 |
j-invariant |
L |
9.7451643379327 |
L(r)(E,1)/r! |
Ω |
0.75076640701554 |
Real period |
R |
1.6225360256989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bb2 39840k2 |
Quadratic twists by: -4 8 |