Atkin-Lehner |
2+ 3- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106z |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-49152907009584 = -1 · 24 · 36 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25578,-1603868] |
[a1,a2,a3,a4,a6] |
j |
-2538665515223713/67425112496 |
j-invariant |
L |
3.015375345168 |
L(r)(E,1)/r! |
Ω |
0.18846095791284 |
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 |
10234l1 |
Quadratic twists by: -3 |