Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568m |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7698283097063424 = 215 · 3 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51489,1567329] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:2116:1] [1055:33472:1] |
Generators of the group modulo torsion |
j |
3112136/1587 |
j-invariant |
L |
7.844122795657 |
L(r)(E,1)/r! |
Ω |
0.36774688679325 |
Real period |
R |
10.665111082296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bl2 50784n2 4416d2 |
Quadratic twists by: -4 8 -23 |