Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760cl |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
6589513728000000 = 224 · 33 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289707,-59891494] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:350:1] |
Generators of the group modulo torsion |
j |
24315150763476243/59584000000 |
j-invariant |
L |
5.8460076181148 |
L(r)(E,1)/r! |
Ω |
0.20581345382078 |
Real period |
R |
1.1835166550771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11970bn1 95760bt3 |
Quadratic twists by: -4 -3 |