Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192c |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27845139679232 = 211 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17448,855824] |
[a1,a2,a3,a4,a6] |
j |
6097250/289 |
j-invariant |
L |
2.6311795466012 |
L(r)(E,1)/r! |
Ω |
0.65779494155666 |
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 |
49096c2 272a2 |
Quadratic twists by: -4 -19 |