Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714l |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0482642530192E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8683011,-8525445291] |
[a1,a2,a3,a4,a6] |
Generators |
[-36027270:-409028733:29791] |
Generators of the group modulo torsion |
j |
45204035637810785581/6545053349462016 |
j-invariant |
L |
5.0979883405101 |
L(r)(E,1)/r! |
Ω |
0.088798939468395 |
Real period |
R |
7.1763080322373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238q2 51714ba2 |
Quadratic twists by: -3 13 |