Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616b |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-105775497216 = -1 · 217 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 0 3 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,83376] |
[a1,a2,a3,a4,a6] |
Generators |
[24:108:1] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
5.2528833442539 |
L(r)(E,1)/r! |
Ω |
1.0588359695142 |
Real period |
R |
1.2402495512747 |
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 |
23616bd1 2952d1 23616d1 |
Quadratic twists by: -4 8 -3 |