Atkin-Lehner |
7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24563f |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-863464146083 = -1 · 75 · 116 · 29 |
Discriminant |
Eigenvalues |
2 -1 -4 7+ 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2380,747] |
[a1,a2,a3,a4,a6] |
Generators |
[1594:23107:8] |
Generators of the group modulo torsion |
j |
841232384/487403 |
j-invariant |
L |
4.6952782510732 |
L(r)(E,1)/r! |
Ω |
0.53328867571017 |
Real period |
R |
4.4021919693124 |
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 |
203a1 |
Quadratic twists by: -11 |