Atkin-Lehner |
2+ 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936j |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-5496959337216 = -1 · 28 · 3 · 175 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43657,-3527389] |
[a1,a2,a3,a4,a6] |
j |
-35946396545440768/21472497411 |
j-invariant |
L |
1.6513521553961 |
L(r)(E,1)/r! |
Ω |
0.16513521576611 |
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 |
28968i1 |
Quadratic twists by: -4 |