Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898y |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
-8.8017088933933E+21 |
Discriminant |
Eigenvalues |
2+ 3 1 -1 11- 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4502614,5823313172] |
[a1,a2,a3,a4,a6] |
Generators |
[34008924800607:-1422053705525474:30109256631] |
Generators of the group modulo torsion |
j |
-537367797/468512 |
j-invariant |
L |
8.400172097754 |
L(r)(E,1)/r! |
Ω |
0.11917328473955 |
Real period |
R |
17.62176001969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718t1 40898cb1 |
Quadratic twists by: -11 13 |