Atkin-Lehner |
3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849b |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-615793973256441 = -1 · 313 · 78 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ -4 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11955,-1077756] |
[a1,a2,a3,a4,a6] |
j |
32778257519/106819641 |
j-invariant |
L |
1.0503242867448 |
L(r)(E,1)/r! |
Ω |
0.26258107168619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29547i1 9849p1 |
Quadratic twists by: -3 -7 |