Atkin-Lehner |
3+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23529a |
Isogeny class |
Conductor |
23529 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-178598563952787 = -1 · 316 · 11 · 233 · 31 |
Discriminant |
Eigenvalues |
0 3+ 4 0 11+ -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5681,-661876] |
[a1,a2,a3,a4,a6] |
j |
-20280306979569664/178598563952787 |
j-invariant |
L |
1.4458529835052 |
L(r)(E,1)/r! |
Ω |
0.24097549725088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70587i1 |
Quadratic twists by: -3 |