Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cj |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-501420780000000 = -1 · 28 · 36 · 57 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42132,-3498644] |
[a1,a2,a3,a4,a6] |
Generators |
[737:19125:1] |
Generators of the group modulo torsion |
j |
-44319254354944/2686796875 |
j-invariant |
L |
7.019180098278 |
L(r)(E,1)/r! |
Ω |
0.16603290813451 |
Real period |
R |
1.0065675380353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42840ca1 9520b1 |
Quadratic twists by: -4 -3 |