Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175b |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-4155046875 = -1 · 34 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 0 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-733,8493] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:112:1] [13:-32:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
6.2663547045266 |
L(r)(E,1)/r! |
Ω |
1.3543564663843 |
Real period |
R |
0.57835168030535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525n1 1407d1 |
Quadratic twists by: -3 5 |