Atkin-Lehner |
2- 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
29394i |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47376 |
Modular degree for the optimal curve |
Δ |
-12002187474 = -1 · 2 · 36 · 23 · 713 |
Discriminant |
Eigenvalues |
2- 3- -1 2 4 -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9083,335485] |
[a1,a2,a3,a4,a6] |
j |
-113668283030121/16463906 |
j-invariant |
L |
3.6770674486277 |
L(r)(E,1)/r! |
Ω |
1.225689149543 |
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 |
3266d1 |
Quadratic twists by: -3 |