Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688q |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
661248 |
Modular degree for the optimal curve |
Δ |
55191803183684352 = 28 · 33 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114868,9876124] |
[a1,a2,a3,a4,a6] |
Generators |
[149163:2222282:343] |
Generators of the group modulo torsion |
j |
82000/27 |
j-invariant |
L |
5.0721620167307 |
L(r)(E,1)/r! |
Ω |
0.32599498617831 |
Real period |
R |
5.1863394966603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172g1 80688w1 |
Quadratic twists by: -4 41 |