Atkin-Lehner |
3+ 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763b |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32384 |
Modular degree for the optimal curve |
Δ |
-63177219 = -1 · 33 · 72 · 17 · 532 |
Discriminant |
Eigenvalues |
2 3+ 3 7+ 5 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,39,-371] |
[a1,a2,a3,a4,a6] |
j |
242970624/2339897 |
j-invariant |
L |
7.7678098483798 |
L(r)(E,1)/r! |
Ω |
0.9709762313773 |
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 |
56763c1 |
Quadratic twists by: -3 |