Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28152h |
Isogeny class |
Conductor |
28152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1276682840064 = -1 · 211 · 313 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,61022] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:2223:8] |
Generators of the group modulo torsion |
j |
-384200066/855117 |
j-invariant |
L |
7.0450901838865 |
L(r)(E,1)/r! |
Ω |
0.76367316332874 |
Real period |
R |
4.6126343848316 |
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 |
56304k1 9384c1 |
Quadratic twists by: -4 -3 |