Atkin-Lehner |
7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42959g |
Isogeny class |
Conductor |
42959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
1881591965749349 = 73 · 17 · 199 |
Discriminant |
Eigenvalues |
-2 0 1 7+ -6 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-81947,8784664] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:3429:1] |
Generators of the group modulo torsion |
j |
1293603803136/39994829 |
j-invariant |
L |
1.8013101750576 |
L(r)(E,1)/r! |
Ω |
0.46617435273962 |
Real period |
R |
0.96600669067011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261c1 |
Quadratic twists by: -19 |