Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286bl |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
-114355114868736 = -1 · 229 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10438,307577] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:391:1] |
Generators of the group modulo torsion |
j |
13581780628779/12348030976 |
j-invariant |
L |
8.4372014007261 |
L(r)(E,1)/r! |
Ω |
0.38638357131849 |
Real period |
R |
0.18824427391063 |
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 |
20286l1 20286bn1 |
Quadratic twists by: -3 -7 |