Atkin-Lehner |
3- 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56763k |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
158123042973 = 36 · 72 · 174 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2165,34256] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-335:1] |
Generators of the group modulo torsion |
j |
1538798703625/216904037 |
j-invariant |
L |
3.5655917603944 |
L(r)(E,1)/r! |
Ω |
0.98399953378933 |
Real period |
R |
0.90589264475897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6307b2 |
Quadratic twists by: -3 |