Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
120612d |
Isogeny class |
Conductor |
120612 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
226512 |
Modular degree for the optimal curve |
Δ |
-23086492961328 = -1 · 24 · 33 · 192 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1411,-230742] |
[a1,a2,a3,a4,a6] |
j |
131072/9747 |
j-invariant |
L |
0.3219484034937 |
L(r)(E,1)/r! |
Ω |
0.32194807390339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
228a1 |
Quadratic twists by: -23 |