Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bc |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
833821006619531250 = 2 · 32 · 58 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-378626276,-2835757372552] |
[a1,a2,a3,a4,a6] |
j |
15916310615119911121/2210850 |
j-invariant |
L |
2.4642193514169 |
L(r)(E,1)/r! |
Ω |
0.034225268770866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670n4 2550d4 |
Quadratic twists by: 5 17 |