Atkin-Lehner |
3- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
51255c |
Isogeny class |
Conductor |
51255 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
314130460131230625 = 318 · 54 · 172 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62274825,189170158936] |
[a1,a2,a3,a4,a6] |
Generators |
[38581903038380:-939942014614:8502154921] |
Generators of the group modulo torsion |
j |
36638166765697694609677201/430905980975625 |
j-invariant |
L |
6.4085826035356 |
L(r)(E,1)/r! |
Ω |
0.21525813603215 |
Real period |
R |
14.885808085237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17085b3 |
Quadratic twists by: -3 |