Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466o |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2855424 |
Modular degree for the optimal curve |
Δ |
1.7594035525718E+19 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11+ -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6822788,6853664464] |
[a1,a2,a3,a4,a6] |
Generators |
[16872:2158348:1] |
Generators of the group modulo torsion |
j |
237269779307308441/118849798144 |
j-invariant |
L |
2.2245162701631 |
L(r)(E,1)/r! |
Ω |
0.21567716261881 |
Real period |
R |
1.289262759706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542a1 |
Quadratic twists by: -23 |