Atkin-Lehner |
2+ 3+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742c |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
20141568 = 29 · 33 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4119,100053] |
[a1,a2,a3,a4,a6] |
j |
7731501112194553/20141568 |
j-invariant |
L |
1.874658053047 |
L(r)(E,1)/r! |
Ω |
1.874658053047 |
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 |
69936z1 26226z1 |
Quadratic twists by: -4 -3 |