Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bx |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-448524288 = -1 · 212 · 32 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,1305] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
-8000/9 |
j-invariant |
L |
6.8727726142263 |
L(r)(E,1)/r! |
Ω |
1.5143906926319 |
Real period |
R |
1.1345771990687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568di1 50784i1 101568bz1 |
Quadratic twists by: -4 8 -23 |