Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200c |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4704588100000000 = 28 · 58 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63175,5144250] |
[a1,a2,a3,a4,a6] |
j |
148176/25 |
j-invariant |
L |
3.3141658742567 |
L(r)(E,1)/r! |
Ω |
0.41427073323932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14440h2 200c2 |
Quadratic twists by: 5 -19 |