Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636f |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
220752 |
Modular degree for the optimal curve |
Δ |
-479222649631488 = -1 · 28 · 3 · 710 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358549,-82523615] |
[a1,a2,a3,a4,a6] |
Generators |
[6572370672:507042804143:1092727] |
Generators of the group modulo torsion |
j |
-70493667328/6627 |
j-invariant |
L |
3.1415528163885 |
L(r)(E,1)/r! |
Ω |
0.097550585343929 |
Real period |
R |
16.102173069041 |
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 |
110544ef1 82908be1 27636q1 |
Quadratic twists by: -4 -3 -7 |