Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616bi |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-70848 = -1 · 26 · 33 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -3 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-13824/41 |
j-invariant |
L |
3.843380790755 |
L(r)(E,1)/r! |
Ω |
1.4105571309497 |
Real period |
R |
1.362362681534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616bh1 11808l1 23616bb1 |
Quadratic twists by: -4 8 -3 |