Atkin-Lehner |
3+ 13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807i |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-2.4981131135663E+19 |
Discriminant |
Eigenvalues |
1 3+ 2 2 4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1657694,855276903] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:16217:1] |
Generators of the group modulo torsion |
j |
-503775703473363124555753/24981131135662997607 |
j-invariant |
L |
7.3428379158061 |
L(r)(E,1)/r! |
Ω |
0.2100419976159 |
Real period |
R |
2.913241954447 |
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 |
83421o1 |
Quadratic twists by: -3 |