Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680g |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
637440000 = 212 · 3 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265,1225] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:40:1] [-13:48:1] |
Generators of the group modulo torsion |
j |
504358336/155625 |
j-invariant |
L |
9.7451643379327 |
L(r)(E,1)/r! |
Ω |
1.5015328140311 |
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 |
79680bb1 39840k1 |
Quadratic twists by: -4 8 |