Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390x |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-21540372480 = -1 · 219 · 32 · 5 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,539,-5119] |
[a1,a2,a3,a4,a6] |
Generators |
[50:359:1] |
Generators of the group modulo torsion |
j |
17315683851311/21540372480 |
j-invariant |
L |
9.8644116486534 |
L(r)(E,1)/r! |
Ω |
0.64745126598363 |
Real period |
R |
0.40094103427745 |
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 |
82170ba1 |
Quadratic twists by: -3 |