Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344eq |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
9248272002111168 = 26 · 311 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-499395,135757024] |
[a1,a2,a3,a4,a6] |
Generators |
[116:8910:1] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
6.0338995654428 |
L(r)(E,1)/r! |
Ω |
0.40627727834604 |
Real period |
R |
3.7129196577492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344eo1 48672m2 32448cz1 7488bn1 |
Quadratic twists by: -4 8 -3 13 |