Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950bn |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-20614790144531250 = -1 · 2 · 311 · 59 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 1 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10008,6894666] |
[a1,a2,a3,a4,a6] |
Generators |
[69:2778:1] |
Generators of the group modulo torsion |
j |
77854483/14478426 |
j-invariant |
L |
2.6503717824801 |
L(r)(E,1)/r! |
Ω |
0.29619926625858 |
Real period |
R |
2.2369837508024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600gv1 4650bv1 13950cu1 |
Quadratic twists by: -4 -3 5 |