Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
14196c |
Isogeny class |
Conductor |
14196 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
32698270675416528 = 24 · 318 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95697,7390278] |
[a1,a2,a3,a4,a6] |
Generators |
[-73794:65611:216] |
Generators of the group modulo torsion |
j |
2757231177908224/930196594089 |
j-invariant |
L |
4.4745016237944 |
L(r)(E,1)/r! |
Ω |
0.33995508051586 |
Real period |
R |
6.5810189055047 |
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 |
56784de1 42588n1 99372by1 14196g1 |
Quadratic twists by: -4 -3 -7 13 |