Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7224c |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
39962474496 = 211 · 33 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -6 -5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904,-4432] |
[a1,a2,a3,a4,a6] |
j |
39937362194/19512927 |
j-invariant |
L |
2.7441544975554 |
L(r)(E,1)/r! |
Ω |
0.91471816585181 |
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 |
14448f1 57792n1 21672j1 50568d1 |
Quadratic twists by: -4 8 -3 -7 |