Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742f |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1174572140458464 = -1 · 25 · 321 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1956150,-1052568108] |
[a1,a2,a3,a4,a6] |
Generators |
[25779225:213032397:15625] |
Generators of the group modulo torsion |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
3.0502503677095 |
L(r)(E,1)/r! |
Ω |
0.063829137079249 |
Real period |
R |
11.946935628796 |
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 |
45936bu1 1914p1 63162cc1 |
Quadratic twists by: -4 -3 -11 |