Atkin-Lehner |
2- 3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bn |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-2820101508 = -1 · 22 · 39 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4646,-120743] |
[a1,a2,a3,a4,a6] |
Generators |
[89:361:1] |
Generators of the group modulo torsion |
j |
-563355317979/143276 |
j-invariant |
L |
8.1728269657503 |
L(r)(E,1)/r! |
Ω |
0.28913484567533 |
Real period |
R |
3.5333111345403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106g1 |
Quadratic twists by: -3 |