Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fk |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-33313550400 = -1 · 26 · 36 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207,8856] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:100:1] [12:90:1] |
Generators of the group modulo torsion |
j |
-21024576/714025 |
j-invariant |
L |
8.3907325795254 |
L(r)(E,1)/r! |
Ω |
0.97201494462218 |
Real period |
R |
4.3161541013072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fg1 18720m4 4160l1 |
Quadratic twists by: -4 8 -3 |