Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dz |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-306489609216 = -1 · 210 · 38 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1464,15640] |
[a1,a2,a3,a4,a6] |
Generators |
[774:21560:1] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
5.0967780010534 |
L(r)(E,1)/r! |
Ω |
0.63108043441772 |
Real period |
R |
4.0381366004791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cp1 19152r1 25536ct1 |
Quadratic twists by: -4 8 -3 |