Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120j |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-8809891786800 = -1 · 24 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9295,-376432] |
[a1,a2,a3,a4,a6] |
j |
-5551350318708736/550618236675 |
j-invariant |
L |
2.90100503349 |
L(r)(E,1)/r! |
Ω |
0.2417504194575 |
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 |
1560j1 12480bm1 9360l1 15600b1 |
Quadratic twists by: -4 8 -3 5 |