Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
14196c |
Isogeny class |
Conductor |
14196 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
63818359308377856 = 28 · 39 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1375092,620988120] |
[a1,a2,a3,a4,a6] |
Generators |
[152981214:-128744705285:216] |
Generators of the group modulo torsion |
j |
511268777852836624/113468578083 |
j-invariant |
L |
4.4745016237944 |
L(r)(E,1)/r! |
Ω |
0.33995508051586 |
Real period |
R |
13.162037811009 |
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 |
56784de2 42588n2 99372by2 14196g2 |
Quadratic twists by: -4 -3 -7 13 |