Atkin-Lehner |
3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923a |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1699353094257 = 33 · 73 · 133 · 174 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46809,3909224] |
[a1,a2,a3,a4,a6] |
Generators |
[140:222:1] |
Generators of the group modulo torsion |
j |
420100556152674123/62939003491 |
j-invariant |
L |
3.2986829986708 |
L(r)(E,1)/r! |
Ω |
0.81174574738702 |
Real period |
R |
4.0636899044917 |
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 |
13923b1 97461c1 |
Quadratic twists by: -3 -7 |