Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bm |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-1.5781040128006E+20 |
Discriminant |
Eigenvalues |
0 0 5- 7- 1 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1733522,1066332720] |
[a1,a2,a3,a4,a6] |
j |
-43352064/11875 |
j-invariant |
L |
1.3837989496473 |
L(r)(E,1)/r! |
Ω |
0.17297486770286 |
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 |
88445c1 4655r1 |
Quadratic twists by: -7 -19 |