Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350g |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-529721580675937500 = -1 · 22 · 35 · 57 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,101000,32807500] |
[a1,a2,a3,a4,a6] |
Generators |
[1956:86878:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
3.7908294876345 |
L(r)(E,1)/r! |
Ω |
0.21000086580758 |
Real period |
R |
4.5128736410858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670ba1 2550m1 |
Quadratic twists by: 5 17 |