Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
2570442411600 = 24 · 33 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-238003932,-1413267303681] |
[a1,a2,a3,a4,a6] |
j |
3451376687017714259756433408/5950098175 |
j-invariant |
L |
0.53812290528183 |
L(r)(E,1)/r! |
Ω |
0.038437357379105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420g1 85680cy1 |
Quadratic twists by: -4 -3 |