Atkin-Lehner |
5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81995a |
Isogeny class |
Conductor |
81995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
246400 |
Modular degree for the optimal curve |
Δ |
-14340976746875 = -1 · 55 · 236 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5+ 2 -2 -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5114,-117404] |
[a1,a2,a3,a4,a6] |
Generators |
[31:264:1] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
2.0423073688152 |
L(r)(E,1)/r! |
Ω |
0.38359413477338 |
Real period |
R |
1.331034018731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
155a1 |
Quadratic twists by: -23 |