Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440w |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-1887049886100480 = -1 · 210 · 313 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54280,-5315392] |
[a1,a2,a3,a4,a6] |
Generators |
[368:4968:1] |
Generators of the group modulo torsion |
j |
-17272343781557284/1842822154395 |
j-invariant |
L |
6.7887269743261 |
L(r)(E,1)/r! |
Ω |
0.15545314524408 |
Real period |
R |
0.55987906242031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880i1 |
Quadratic twists by: -4 |