Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600du |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-3.063679199635E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3489448,-2524156492] |
[a1,a2,a3,a4,a6] |
Generators |
[8277451577:-4363081980798:29791] |
Generators of the group modulo torsion |
j |
-9177493130077937309/59837484367872 |
j-invariant |
L |
8.2074973287173 |
L(r)(E,1)/r! |
Ω |
0.055209163394447 |
Real period |
R |
18.582733427184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450f1 51600cd1 |
Quadratic twists by: -4 5 |