Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bj |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
3036024246528 = 28 · 33 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14703,-681070] |
[a1,a2,a3,a4,a6] |
j |
10536048/91 |
j-invariant |
L |
1.7351393991641 |
L(r)(E,1)/r! |
Ω |
0.43378483637735 |
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 |
85176f1 6552e1 |
Quadratic twists by: -3 13 |