Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23200k |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-371200 = -1 · 29 · 52 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-5000/29 |
j-invariant |
L |
4.2562776478924 |
L(r)(E,1)/r! |
Ω |
2.6057596006838 |
Real period |
R |
1.6334114807734 |
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 |
23200b1 46400e1 23200d1 |
Quadratic twists by: -4 8 5 |