Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3249d |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-575550603 = -1 · 313 · 192 |
Discriminant |
Eigenvalues |
1 3- 0 1 2 -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5967,-175932] |
[a1,a2,a3,a4,a6] |
Generators |
[31584:60150:343] |
Generators of the group modulo torsion |
j |
-89289015625/2187 |
j-invariant |
L |
4.1875109747646 |
L(r)(E,1)/r! |
Ω |
0.27159795755656 |
Real period |
R |
7.7090251569593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984ck2 1083d2 81225be2 3249b2 |
Quadratic twists by: -4 -3 5 -19 |