Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834k |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-2087248455338592 = -1 · 25 · 3 · 74 · 135 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 1 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-369123,86192865] |
[a1,a2,a3,a4,a6] |
Generators |
[393:1224:1] |
Generators of the group modulo torsion |
j |
-5562078401367373992625/2087248455338592 |
j-invariant |
L |
6.1093697532091 |
L(r)(E,1)/r! |
Ω |
0.45609882263024 |
Real period |
R |
0.44649459357495 |
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 |
126672bz1 47502g1 110838cp1 |
Quadratic twists by: -4 -3 -7 |