Atkin-Lehner |
2- 3+ 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978p |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
-319068672 = -1 · 29 · 3 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28,869] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:29:1] |
Generators of the group modulo torsion |
j |
2422300607/319068672 |
j-invariant |
L |
9.7880749786759 |
L(r)(E,1)/r! |
Ω |
1.3209981119138 |
Real period |
R |
0.4116447543381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934x1 |
Quadratic twists by: -3 |