Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7072f |
Isogeny class |
Conductor |
7072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1923584 = 29 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,616] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:34:1] [-2:30:1] |
Generators of the group modulo torsion |
j |
649461896/3757 |
j-invariant |
L |
3.6198274405382 |
L(r)(E,1)/r! |
Ω |
2.6438150855392 |
Real period |
R |
1.369168161698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7072d2 14144t2 63648g2 91936h2 |
Quadratic twists by: -4 8 -3 13 |