Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342w |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2207570553254304 = -1 · 25 · 39 · 76 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21251,2561059] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1262:1] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
9.8859355772939 |
L(r)(E,1)/r! |
Ω |
0.41114351943504 |
Real period |
R |
1.2022487416168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27342a1 558f2 |
Quadratic twists by: -3 -7 |