Atkin-Lehner |
2+ 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128f |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
86698085196883968 = 211 · 322 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-537699,-151097218] |
[a1,a2,a3,a4,a6] |
j |
11515529649684674/58070026629 |
j-invariant |
L |
2.8217369788257 |
L(r)(E,1)/r! |
Ω |
0.17635857112206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376e3 |
Quadratic twists by: -3 |