Atkin-Lehner |
3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483g |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-81940651947 = -1 · 36 · 73 · 11 · 313 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11+ -2 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4064,101670] |
[a1,a2,a3,a4,a6] |
j |
-10180218348217/112401443 |
j-invariant |
L |
1.0862942576943 |
L(r)(E,1)/r! |
Ω |
1.0862942576943 |
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 |
2387a1 |
Quadratic twists by: -3 |