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 |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
818974696448 = 210 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-45232] |
[a1,a2,a3,a4,a6] |
j |
62500/17 |
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 |
49096c1 272a1 |
Quadratic twists by: -4 -19 |