Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846v |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-577414656 = -1 · 29 · 36 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3141,-66987] |
[a1,a2,a3,a4,a6] |
Generators |
[558:1503:8] |
Generators of the group modulo torsion |
j |
-4701947389777/792064 |
j-invariant |
L |
3.1319583612885 |
L(r)(E,1)/r! |
Ω |
0.31885387905157 |
Real period |
R |
4.9112753004675 |
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 |
3094h1 |
Quadratic twists by: -3 |