Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568be |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-392918040870912 = -1 · 215 · 34 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16223,531743] |
[a1,a2,a3,a4,a6] |
Generators |
[119:2040:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
8.3056358988773 |
L(r)(E,1)/r! |
Ω |
0.34543293737147 |
Real period |
R |
3.0055167753663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568k3 50784w2 192b4 |
Quadratic twists by: -4 8 -23 |