Atkin-Lehner |
2+ 3+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106j |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
24127488 |
Modular degree for the optimal curve |
Δ |
-2.8263074856541E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12051705,82475443773] |
[a1,a2,a3,a4,a6] |
Generators |
[1839:257013:1] |
Generators of the group modulo torsion |
j |
-7169773660491500708474187/104678055024225209781296 |
j-invariant |
L |
7.5591134112249 |
L(r)(E,1)/r! |
Ω |
0.068143244432405 |
Real period |
R |
0.63028269897557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106bi1 |
Quadratic twists by: -3 |