Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350h |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-327651091200000000 = -1 · 214 · 311 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,57225,27055125] |
[a1,a2,a3,a4,a6] |
Generators |
[734:21201:1] |
Generators of the group modulo torsion |
j |
4589352212399/72559411200 |
j-invariant |
L |
4.0376451193384 |
L(r)(E,1)/r! |
Ω |
0.22651340609365 |
Real period |
R |
4.4562981822772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670w1 43350bm1 |
Quadratic twists by: 5 17 |