Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cs |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-356528729088 = -1 · 210 · 39 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1080,25272] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:152:1] [9:189:1] |
Generators of the group modulo torsion |
j |
6912000/17689 |
j-invariant |
L |
10.529242674717 |
L(r)(E,1)/r! |
Ω |
0.66941391645608 |
Real period |
R |
3.9322616455682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608v1 19152f1 76608ct1 |
Quadratic twists by: -4 8 -3 |