Atkin-Lehner |
2- 3+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28842m |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-23481166302 = -1 · 2 · 35 · 11 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 11- 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28056,1797111] |
[a1,a2,a3,a4,a6] |
j |
-2442316470222480769/23481166302 |
j-invariant |
L |
6.5027396243654 |
L(r)(E,1)/r! |
Ω |
1.0837899373944 |
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 |
86526e1 |
Quadratic twists by: -3 |