Atkin-Lehner |
2+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42194h |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-37674894011590912 = -1 · 28 · 1710 · 73 |
Discriminant |
Eigenvalues |
2+ -2 0 3 -3 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43501,-9973848] |
[a1,a2,a3,a4,a6] |
Generators |
[103845:685938:343] |
Generators of the group modulo torsion |
j |
-4515625/18688 |
j-invariant |
L |
2.6019698203331 |
L(r)(E,1)/r! |
Ω |
0.15058868733858 |
Real period |
R |
8.6393269850313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42194l1 |
Quadratic twists by: 17 |