Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840be |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-9192960 = -1 · 29 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-360] |
[a1,a2,a3,a4,a6] |
j |
-193100552/17955 |
j-invariant |
L |
0.75793799608747 |
L(r)(E,1)/r! |
Ω |
0.75793799666497 |
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 |
63840bx1 127680gf1 |
Quadratic twists by: -4 8 |