Atkin-Lehner |
5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815j |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
579600 |
Modular degree for the optimal curve |
Δ |
-30483293431484375 = -1 · 57 · 172 · 675 |
Discriminant |
Eigenvalues |
1 1 5- 0 -2 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147133,23277931] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:6817:1] |
Generators of the group modulo torsion |
j |
-1218854589259791529/105478523984375 |
j-invariant |
L |
8.1394628612423 |
L(r)(E,1)/r! |
Ω |
0.36351230350104 |
Real period |
R |
0.63974748417963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96815h1 |
Quadratic twists by: 17 |