Atkin-Lehner |
2- 3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28428a |
Isogeny class |
Conductor |
28428 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
17640 |
Modular degree for the optimal curve |
Δ |
-43852009392 = -1 · 24 · 37 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,283,-10002] |
[a1,a2,a3,a4,a6] |
Generators |
[21:69:1] |
Generators of the group modulo torsion |
j |
156108849152/2740750587 |
j-invariant |
L |
5.3248978866953 |
L(r)(E,1)/r! |
Ω |
0.55536590524559 |
Real period |
R |
1.0653432541601 |
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 |
113712o1 85284b1 |
Quadratic twists by: -4 -3 |