Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585be |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.3796116188818E+24 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42765984,-77958470885] |
[a1,a2,a3,a4,a6] |
Generators |
[-2673080:-26657105:512] |
Generators of the group modulo torsion |
j |
100856375520095084401/27745356687890625 |
j-invariant |
L |
9.6614317105355 |
L(r)(E,1)/r! |
Ω |
0.060259408329371 |
Real period |
R |
10.020667288953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27195f6 11655f5 |
Quadratic twists by: -3 -7 |