Atkin-Lehner |
2- 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21252a |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-12241152 = -1 · 28 · 33 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-168] |
[a1,a2,a3,a4,a6] |
j |
9148592/47817 |
j-invariant |
L |
1.132404163924 |
L(r)(E,1)/r! |
Ω |
1.132404163924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008cl1 63756v1 |
Quadratic twists by: -4 -3 |