Atkin-Lehner |
2+ 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9890d |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-39560000 = -1 · 26 · 54 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -1 3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43,301] |
[a1,a2,a3,a4,a6] |
Generators |
[2:19:1] |
Generators of the group modulo torsion |
j |
8477185319/39560000 |
j-invariant |
L |
2.095928729553 |
L(r)(E,1)/r! |
Ω |
1.4661567870181 |
Real period |
R |
0.17869241101217 |
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 |
79120v1 89010bi1 49450o1 |
Quadratic twists by: -4 -3 5 |