Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176ca |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-13853378636907264 = -1 · 28 · 36 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103428,13999284] |
[a1,a2,a3,a4,a6] |
j |
-135834624/15379 |
j-invariant |
L |
3.0868857395486 |
L(r)(E,1)/r! |
Ω |
0.38586072020747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464c1 6552g1 |
Quadratic twists by: -3 13 |