Atkin-Lehner |
2- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35872b |
Isogeny class |
Conductor |
35872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
-10905088 = -1 · 29 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 2 -4 1 -1 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160,-744] |
[a1,a2,a3,a4,a6] |
j |
-890277128/21299 |
j-invariant |
L |
1.3397674638685 |
L(r)(E,1)/r! |
Ω |
0.66988373194887 |
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 |
35872f1 71744l1 |
Quadratic twists by: -4 8 |