Atkin-Lehner |
3- 13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85527b |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
15320383324368993 = 310 · 134 · 173 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 -4 -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96417,-9841208] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:1322:1] |
Generators of the group modulo torsion |
j |
135975154375140625/21015614985417 |
j-invariant |
L |
4.1462986940973 |
L(r)(E,1)/r! |
Ω |
0.27374914974256 |
Real period |
R |
2.5243906013872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28509a1 |
Quadratic twists by: -3 |