Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bk |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
820636187367260160 = 214 · 320 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4922936,4205625456] |
[a1,a2,a3,a4,a6] |
Generators |
[1293:546:1] |
Generators of the group modulo torsion |
j |
3221338935539503699129/200350631681460 |
j-invariant |
L |
4.5706583633581 |
L(r)(E,1)/r! |
Ω |
0.26766328000767 |
Real period |
R |
4.2690375415439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630j3 |
Quadratic twists by: -4 |