Atkin-Lehner |
3- 7- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42441j |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-4993141209 = -1 · 3 · 77 · 43 · 47 |
Discriminant |
Eigenvalues |
1 3- 3 7- 4 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,388,1727] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:382:27] |
Generators of the group modulo torsion |
j |
6483759726023/4993141209 |
j-invariant |
L |
11.712586721041 |
L(r)(E,1)/r! |
Ω |
0.87583884114954 |
Real period |
R |
1.9104275761948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323j1 |
Quadratic twists by: -3 |