Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928n |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1264896 = -1 · 28 · 34 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -5 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-424] |
[a1,a2,a3,a4,a6] |
j |
-436334416/4941 |
j-invariant |
L |
3.0149162926383 |
L(r)(E,1)/r! |
Ω |
0.75372907315956 |
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 |
732b1 11712r1 8784w1 73200bv1 |
Quadratic twists by: -4 8 -3 5 |