Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416h |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-78545672994926592 = -1 · 212 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1123524,458574048] |
[a1,a2,a3,a4,a6] |
Generators |
[349:10439:1] |
Generators of the group modulo torsion |
j |
-1945447581589056/974251369 |
j-invariant |
L |
6.7980744065953 |
L(r)(E,1)/r! |
Ω |
0.33857311177595 |
Real period |
R |
5.0196502395804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416s2 26208b1 52416j2 |
Quadratic twists by: -4 8 -3 |