Atkin-Lehner |
3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
1743b |
Isogeny class |
Conductor |
1743 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
39248309073591009 = 35 · 710 · 833 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2900274,1900841859] |
[a1,a2,a3,a4,a6] |
j |
2697992943085423885932577/39248309073591009 |
j-invariant |
L |
0.83066856246502 |
L(r)(E,1)/r! |
Ω |
0.33226742498601 |
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 |
27888bc1 111552n1 5229b1 43575f1 |
Quadratic twists by: -4 8 -3 5 |