Atkin-Lehner |
2- 3+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106bh |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
915200 |
Modular degree for the optimal curve |
Δ |
-45672153002090496 = -1 · 213 · 33 · 710 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,80146,-5447171] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-4813:1] |
Generators of the group modulo torsion |
j |
2108679540308377821/1691561222299648 |
j-invariant |
L |
6.7735586955627 |
L(r)(E,1)/r! |
Ω |
0.19937186675216 |
Real period |
R |
0.13067113868356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106i1 |
Quadratic twists by: -3 |