Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81356d |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3415104 |
Modular degree for the optimal curve |
Δ |
8.4751612089994E+19 |
Discriminant |
Eigenvalues |
2- 2 -4 3 11+ -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2822190,-1769341519] |
[a1,a2,a3,a4,a6] |
Generators |
[-49257195:55800971:59319] |
Generators of the group modulo torsion |
j |
24578303113984/837948353 |
j-invariant |
L |
7.2382194950186 |
L(r)(E,1)/r! |
Ω |
0.11672427446868 |
Real period |
R |
10.335210226418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1892a1 |
Quadratic twists by: -43 |