Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350m |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16692480 |
Modular degree for the optimal curve |
Δ |
-3.1646176929278E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101670350,-478531297740] |
[a1,a2,a3,a4,a6] |
Generators |
[4446721604595262517:-10038594974949867064640:872900531693] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
2.834661204841 |
L(r)(E,1)/r! |
Ω |
0.023439865924634 |
Real period |
R |
30.233334247253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350ds1 2550j1 |
Quadratic twists by: 5 17 |