Atkin-Lehner |
7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111853f |
Isogeny class |
Conductor |
111853 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-9.263870276534E+19 |
Discriminant |
Eigenvalues |
1 1 -3 7- 5 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3643230,2716025817] |
[a1,a2,a3,a4,a6] |
j |
-8990737580405953/155741544581 |
j-invariant |
L |
3.0512358214215 |
L(r)(E,1)/r! |
Ω |
0.19070222230473 |
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 |
3857b1 |
Quadratic twists by: 29 |