Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952k |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
1729667792896 = 218 · 174 · 79 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 2 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,30337] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-544:1] |
Generators of the group modulo torsion |
j |
13841287201/6598159 |
j-invariant |
L |
4.689134792374 |
L(r)(E,1)/r! |
Ω |
0.74791231261798 |
Real period |
R |
0.39185198488301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952s1 1343a1 |
Quadratic twists by: -4 8 |