Atkin-Lehner |
3+ 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9879b |
Isogeny class |
Conductor |
9879 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4424 |
Modular degree for the optimal curve |
Δ |
-266466267 = -1 · 37 · 372 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 2 2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-392,-2962] |
[a1,a2,a3,a4,a6] |
Generators |
[43:240:1] |
Generators of the group modulo torsion |
j |
-6678660026368/266466267 |
j-invariant |
L |
2.3404108563015 |
L(r)(E,1)/r! |
Ω |
0.53510795437712 |
Real period |
R |
2.186858592885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29637e1 |
Quadratic twists by: -3 |