Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928p |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2302672896 = -1 · 222 · 32 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 3 1 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-512,-5196] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/562176 |
j-invariant |
L |
1.9899979755693 |
L(r)(E,1)/r! |
Ω |
0.49749949389234 |
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 |
366g1 11712x1 8784ba1 73200bt1 |
Quadratic twists by: -4 8 -3 5 |