Atkin-Lehner |
3- 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32571c |
Isogeny class |
Conductor |
32571 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-15642190179 = -1 · 36 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
1 3- 3 7+ 11- -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4473,116428] |
[a1,a2,a3,a4,a6] |
Generators |
[56:170:1] |
Generators of the group modulo torsion |
j |
-13578365403793/21457051 |
j-invariant |
L |
7.3960466313998 |
L(r)(E,1)/r! |
Ω |
1.2410857367247 |
Real period |
R |
0.99322262925989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3619a1 |
Quadratic twists by: -3 |