Atkin-Lehner |
2- 7+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784m |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
-593122305974456048 = -1 · 24 · 710 · 195 · 53 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-615494,189311675] |
[a1,a2,a3,a4,a6] |
Generators |
[7581410:656767139:1000] |
Generators of the group modulo torsion |
j |
-1611669198989097110272/37070144123403503 |
j-invariant |
L |
5.0303704953297 |
L(r)(E,1)/r! |
Ω |
0.28978654751787 |
Real period |
R |
8.6794410172711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28196d1 |
Quadratic twists by: -4 |