Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5112a |
Isogeny class |
Conductor |
5112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
341454927955968 = 211 · 38 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18579,-399602] |
[a1,a2,a3,a4,a6] |
Generators |
[-4470:58504:125] |
Generators of the group modulo torsion |
j |
475043342114/228705129 |
j-invariant |
L |
4.2325555995916 |
L(r)(E,1)/r! |
Ω |
0.42901275291602 |
Real period |
R |
4.9329018436197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10224a3 40896x3 1704d3 127800bm3 |
Quadratic twists by: -4 8 -3 5 |