Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bu |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-139320000000 = -1 · 29 · 34 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,13012] |
[a1,a2,a3,a4,a6] |
Generators |
[52:450:1] |
Generators of the group modulo torsion |
j |
13481272/17415 |
j-invariant |
L |
5.7340598260984 |
L(r)(E,1)/r! |
Ω |
0.69582707383812 |
Real period |
R |
0.51503994648712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cj1 20640k1 |
Quadratic twists by: -4 5 |