Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064p |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1521337509881856 = -1 · 211 · 33 · 317 |
Discriminant |
Eigenvalues |
2- 3- -3 2 5 -1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31072,2812064] |
[a1,a2,a3,a4,a6] |
j |
-1825346/837 |
j-invariant |
L |
2.6735911407002 |
L(r)(E,1)/r! |
Ω |
0.44559852345004 |
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 |
46128i1 69192s1 744e1 |
Quadratic twists by: -4 -3 -31 |