Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5208h |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-183082032 = -1 · 24 · 35 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,648] |
[a1,a2,a3,a4,a6] |
j |
4499456/11442627 |
j-invariant |
L |
2.8239658482155 |
L(r)(E,1)/r! |
Ω |
1.4119829241078 |
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 |
10416m1 41664bm1 15624h1 36456be1 |
Quadratic twists by: -4 8 -3 -7 |