Atkin-Lehner |
2- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42224i |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-4237262848 = -1 · 215 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,-3136] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1584:1] |
Generators of the group modulo torsion |
j |
37595375/1034488 |
j-invariant |
L |
8.2130041139141 |
L(r)(E,1)/r! |
Ω |
0.66912385553951 |
Real period |
R |
3.068566471634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g1 |
Quadratic twists by: -4 |