Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022r |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4436739176768082 = 2 · 32 · 172 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81705,8364501] |
[a1,a2,a3,a4,a6] |
Generators |
[-12716:268679:64] |
Generators of the group modulo torsion |
j |
67967263441/4999122 |
j-invariant |
L |
8.2242654725354 |
L(r)(E,1)/r! |
Ω |
0.42713289411347 |
Real period |
R |
4.8136455697657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b2 |
Quadratic twists by: -31 |