Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056d |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
2913014016 = 28 · 37 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46839,-3901750] |
[a1,a2,a3,a4,a6] |
j |
60894639222352/15609 |
j-invariant |
L |
0.64904925148825 |
L(r)(E,1)/r! |
Ω |
0.32452462574912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112w1 11352k1 |
Quadratic twists by: -4 -3 |