Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20172b |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3780 |
Modular degree for the optimal curve |
Δ |
-1291008 = -1 · 28 · 3 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 4 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109,-407] |
[a1,a2,a3,a4,a6] |
j |
-335872/3 |
j-invariant |
L |
0.73781923003558 |
L(r)(E,1)/r! |
Ω |
0.73781923003557 |
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 |
80688ba1 60516j1 20172h1 |
Quadratic twists by: -4 -3 41 |