Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680b |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2065305600 = 212 · 35 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107561,-13542039] |
[a1,a2,a3,a4,a6] |
Generators |
[621:12600:1] |
Generators of the group modulo torsion |
j |
33599459836909504/504225 |
j-invariant |
L |
2.5585355479636 |
L(r)(E,1)/r! |
Ω |
0.2636243432329 |
Real period |
R |
4.85261625409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680u2 39840m1 |
Quadratic twists by: -4 8 |