Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874r |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2749873166982144 = -1 · 210 · 38 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38785,-3877324] |
[a1,a2,a3,a4,a6] |
j |
-54841681585657/23373536256 |
j-invariant |
L |
1.3330783694191 |
L(r)(E,1)/r! |
Ω |
0.16663479617739 |
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 |
62622cf1 2982b1 |
Quadratic twists by: -3 -7 |