Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ea |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2827440 |
Modular degree for the optimal curve |
Δ |
-2846155996727092812 = -1 · 22 · 3 · 76 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85261,-81739267] |
[a1,a2,a3,a4,a6] |
j |
-289/12 |
j-invariant |
L |
10.904326343652 |
L(r)(E,1)/r! |
Ω |
0.11126863688454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734k1 84966dk1 |
Quadratic twists by: -7 17 |