Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42891l |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-108213993 = -1 · 32 · 17 · 294 |
Discriminant |
Eigenvalues |
1 3- -4 3 -5 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-503] |
[a1,a2,a3,a4,a6] |
Generators |
[41:240:1] |
Generators of the group modulo torsion |
j |
-841/153 |
j-invariant |
L |
5.2344054610803 |
L(r)(E,1)/r! |
Ω |
0.83734187914125 |
Real period |
R |
1.0418694345895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673u1 42891g1 |
Quadratic twists by: -3 29 |