Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568t |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-25929072 = -1 · 24 · 38 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -4 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,245] |
[a1,a2,a3,a4,a6] |
j |
-256/2223 |
j-invariant |
L |
3.3896982130829 |
L(r)(E,1)/r! |
Ω |
1.6948491065425 |
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 |
17784r1 11856g1 |
Quadratic twists by: -4 -3 |