Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820f |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
6483918747600 = 24 · 39 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5292,83349] |
[a1,a2,a3,a4,a6] |
j |
442368/175 |
j-invariant |
L |
2.7328458465577 |
L(r)(E,1)/r! |
Ω |
0.68321146163943 |
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 |
35280dn1 8820c1 44100m1 1260a1 |
Quadratic twists by: -4 -3 5 -7 |