Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cs |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.1512852114744E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178449,225093105] |
[a1,a2,a3,a4,a6] |
Generators |
[645:19440:1] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
2.8674728658644 |
L(r)(E,1)/r! |
Ω |
0.17924475476517 |
Real period |
R |
3.9993818543488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bk2 25392l2 101568cj2 |
Quadratic twists by: -4 8 -23 |