Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1.1615774923599E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,498996,-92093328] |
[a1,a2,a3,a4,a6] |
Generators |
[2484646994462:81733984583680:5998805513] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
7.5136911387122 |
L(r)(E,1)/r! |
Ω |
0.12499003619959 |
Real period |
R |
15.02858021162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gn1 1638e1 5824e1 |
Quadratic twists by: -4 8 -3 |