Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008d |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225504 |
Modular degree for the optimal curve |
Δ |
-35096311780900864 = -1 · 215 · 139 · 101 |
Discriminant |
Eigenvalues |
2- 2 -1 -4 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312736,-67812096] |
[a1,a2,a3,a4,a6] |
j |
-825845457115463329/8568435493384 |
j-invariant |
L |
0.2017606045425 |
L(r)(E,1)/r! |
Ω |
0.10088030227126 |
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 |
2626f1 84032y1 |
Quadratic twists by: -4 8 |