Atkin-Lehner |
2+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176d |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
307930112 = 210 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227,1010] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] [-13:42:1] |
Generators of the group modulo torsion |
j |
1263284964/300713 |
j-invariant |
L |
6.3057270004913 |
L(r)(E,1)/r! |
Ω |
1.6190900894848 |
Real period |
R |
0.97365289328938 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18088h1 |
Quadratic twists by: -4 |