Atkin-Lehner |
2+ 3- 5- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090p |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4926217500 = 22 · 37 · 54 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1674,26568] |
[a1,a2,a3,a4,a6] |
Generators |
[27:9:1] [-36:216:1] |
Generators of the group modulo torsion |
j |
711882749089/6757500 |
j-invariant |
L |
7.5457452301094 |
L(r)(E,1)/r! |
Ω |
1.3737155794529 |
Real period |
R |
0.17165455642662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030s1 |
Quadratic twists by: -3 |