Atkin-Lehner |
3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32085d |
Isogeny class |
Conductor |
32085 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
19577400705 = 311 · 5 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5333,-148404] |
[a1,a2,a3,a4,a6] |
j |
23005654170121/26855145 |
j-invariant |
L |
2.2348761082666 |
L(r)(E,1)/r! |
Ω |
0.55871902706736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10695c1 |
Quadratic twists by: -3 |