Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688p |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-4901151779737042944 = -1 · 223 · 3 · 417 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 2 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1116744,466926576] |
[a1,a2,a3,a4,a6] |
j |
-7916293657/251904 |
j-invariant |
L |
0.96853833847732 |
L(r)(E,1)/r! |
Ω |
0.24213459267444 |
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 |
10086k1 1968o1 |
Quadratic twists by: -4 41 |