Atkin-Lehner |
7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47971c |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1704960 |
Modular degree for the optimal curve |
Δ |
-2.0994642743551E+21 |
Discriminant |
Eigenvalues |
0 -2 1 7- 11+ -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-555235,2210070503] |
[a1,a2,a3,a4,a6] |
j |
-160903969471627264/17845151887012219 |
j-invariant |
L |
0.48204446006257 |
L(r)(E,1)/r! |
Ω |
0.12051111506487 |
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 |
6853a1 |
Quadratic twists by: -7 |