Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736u |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
727100657431391232 = 210 · 322 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-653528,-199386684] |
[a1,a2,a3,a4,a6] |
j |
22648474892511500/533478013353 |
j-invariant |
L |
3.6993826114327 |
L(r)(E,1)/r! |
Ω |
0.16815376367298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368a2 98736x2 |
Quadratic twists by: -4 -11 |