Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bs |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1594257390000 = -1 · 24 · 38 · 54 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31721,2164854] |
[a1,a2,a3,a4,a6] |
Generators |
[94:150:1] |
Generators of the group modulo torsion |
j |
-220626680261361664/99641086875 |
j-invariant |
L |
8.3782240682895 |
L(r)(E,1)/r! |
Ω |
0.8318449642544 |
Real period |
R |
1.2589822080822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020e1 |
Quadratic twists by: -4 |