Atkin-Lehner |
3- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025bg |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1697891796002390625 = -1 · 38 · 56 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,281774,-24794527] |
[a1,a2,a3,a4,a6] |
Generators |
[217:6716:1] |
Generators of the group modulo torsion |
j |
158346567380527343/108665074944153 |
j-invariant |
L |
8.6664290218343 |
L(r)(E,1)/r! |
Ω |
0.15043910380512 |
Real period |
R |
0.90011805262494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641b6 |
Quadratic twists by: 5 |