Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21252b |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-24192596736 = -1 · 28 · 32 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,275,-7367] |
[a1,a2,a3,a4,a6] |
Generators |
[19:66:1] |
Generators of the group modulo torsion |
j |
8951619584/94502331 |
j-invariant |
L |
4.7907447058301 |
L(r)(E,1)/r! |
Ω |
0.59016403283679 |
Real period |
R |
0.45098052210653 |
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 |
85008ci1 63756p1 |
Quadratic twists by: -4 -3 |