Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bs |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-300162211888896 = -1 · 28 · 38 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13901,1048821] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-712:1] |
Generators of the group modulo torsion |
j |
-3463512697/3499776 |
j-invariant |
L |
7.7041685871291 |
L(r)(E,1)/r! |
Ω |
0.49695403843669 |
Real period |
R |
0.9689236819773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114h1 3906t1 |
Quadratic twists by: -3 -7 |