Atkin-Lehner |
2- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9890j |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-204367578125000000 = -1 · 26 · 514 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- -2 1 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122030,-27255100] |
[a1,a2,a3,a4,a6] |
Generators |
[710:15270:1] |
Generators of the group modulo torsion |
j |
-200966545996338417121/204367578125000000 |
j-invariant |
L |
7.6927620569675 |
L(r)(E,1)/r! |
Ω |
0.12270775037561 |
Real period |
R |
0.74633020650979 |
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 |
79120bc1 89010o1 49450i1 |
Quadratic twists by: -4 -3 5 |