Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4386j |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7056 |
Modular degree for the optimal curve |
Δ |
-29569499712 = -1 · 26 · 37 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 -2 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,739,3251] |
[a1,a2,a3,a4,a6] |
j |
44629322792111/29569499712 |
j-invariant |
L |
4.4313205152317 |
L(r)(E,1)/r! |
Ω |
0.73855341920529 |
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 |
35088w1 13158h1 109650bg1 74562ba1 |
Quadratic twists by: -4 -3 5 17 |