Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325w |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
3200923540353515625 = 39 · 59 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-643730,179352272] |
[a1,a2,a3,a4,a6] |
Generators |
[159:8920:1] |
Generators of the group modulo torsion |
j |
2589922525662289/281013863625 |
j-invariant |
L |
5.1345015080345 |
L(r)(E,1)/r! |
Ω |
0.24425407691228 |
Real period |
R |
2.6276436751035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775m1 23265r1 |
Quadratic twists by: -3 5 |