Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928o |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-191889408 = -1 · 220 · 3 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,660] |
[a1,a2,a3,a4,a6] |
j |
-389017/46848 |
j-invariant |
L |
1.4697230633718 |
L(r)(E,1)/r! |
Ω |
1.4697230633718 |
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 |
366e1 11712u1 8784x1 73200bu1 |
Quadratic twists by: -4 8 -3 5 |