Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bb |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
12183480041472 = 228 · 33 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 2 1 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17944,-915820] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:102:1] |
Generators of the group modulo torsion |
j |
92806423177/1769472 |
j-invariant |
L |
8.363731507951 |
L(r)(E,1)/r! |
Ω |
0.4129720432246 |
Real period |
R |
3.3754228016187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086b1 80688t1 |
Quadratic twists by: -4 41 |