Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bu |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-26001408 = -1 · 214 · 3 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245,-1581] |
[a1,a2,a3,a4,a6] |
Generators |
[29574:173879:729] |
Generators of the group modulo torsion |
j |
-188416/3 |
j-invariant |
L |
5.0049923583619 |
L(r)(E,1)/r! |
Ω |
0.60258683986507 |
Real period |
R |
8.3058441371706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101568db1 6348c1 101568bs1 |
Quadratic twists by: -4 8 -23 |