Atkin-Lehner |
2- 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43884c |
Isogeny class |
Conductor |
43884 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
341760 |
Modular degree for the optimal curve |
Δ |
-49576551115728816 = -1 · 24 · 326 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85944,-14450159] |
[a1,a2,a3,a4,a6] |
Generators |
[542:9909:1] |
Generators of the group modulo torsion |
j |
-6018979848650752/4250390184819 |
j-invariant |
L |
4.0792519662207 |
L(r)(E,1)/r! |
Ω |
0.13520632060034 |
Real period |
R |
5.0284285873897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14628b1 |
Quadratic twists by: -3 |