Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224b |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
43344 = 24 · 32 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99,-414] |
[a1,a2,a3,a4,a6] |
j |
6774679552/2709 |
j-invariant |
L |
1.5122939846305 |
L(r)(E,1)/r! |
Ω |
1.5122939846305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14448e1 57792k1 21672h1 50568c1 |
Quadratic twists by: -4 8 -3 -7 |