Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275s |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-195466796875 = -1 · 59 · 7 · 17 · 292 |
Discriminant |
Eigenvalues |
0 2 5- 7- -6 3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2583,55693] |
[a1,a2,a3,a4,a6] |
Generators |
[41:130:1] [167:2062:1] |
Generators of the group modulo torsion |
j |
-976191488/100079 |
j-invariant |
L |
12.584493462005 |
L(r)(E,1)/r! |
Ω |
0.980935358639 |
Real period |
R |
3.2072687949353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275n1 |
Quadratic twists by: 5 |