Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74727j |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-17354577332259 = -1 · 314 · 193 · 232 |
Discriminant |
Eigenvalues |
2 3- 3 -3 3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17841,-938871] |
[a1,a2,a3,a4,a6] |
Generators |
[1750166:8028085:10648] |
Generators of the group modulo torsion |
j |
-125600960512/3470769 |
j-invariant |
L |
15.011497018598 |
L(r)(E,1)/r! |
Ω |
0.20620869572647 |
Real period |
R |
9.0996993131619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24909h1 74727k1 |
Quadratic twists by: -3 -19 |