Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bh |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
12660704595148800 = 235 · 3 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65006,3369248] |
[a1,a2,a3,a4,a6] |
j |
247336189744145/103079215104 |
j-invariant |
L |
0.72326099203313 |
L(r)(E,1)/r! |
Ω |
0.36163049603744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350cq2 43350k1 |
Quadratic twists by: 5 17 |