Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616z |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-25870213204416 = -1 · 26 · 33 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3694,258296] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:546:1] [-34:588:1] |
Generators of the group modulo torsion |
j |
-87126842162368/404222081319 |
j-invariant |
L |
9.126283827676 |
L(r)(E,1)/r! |
Ω |
0.58190741189662 |
Real period |
R |
1.0455596705015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616p1 71232cq2 106848s1 |
Quadratic twists by: -4 8 -3 |