Atkin-Lehner |
2- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87400i |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2075750000 = -1 · 24 · 56 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 -6 3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-2125] |
[a1,a2,a3,a4,a6] |
j |
864000/8303 |
j-invariant |
L |
5.8068011779146 |
L(r)(E,1)/r! |
Ω |
0.72585015462673 |
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 |
3496c1 |
Quadratic twists by: 5 |