Atkin-Lehner |
2- 3- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888ba |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
1.7357398838708E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1773428264,28737832183476] |
[a1,a2,a3,a4,a6] |
Generators |
[9098530:206126208:343] |
Generators of the group modulo torsion |
j |
150592950270701262190942025257/42376462008563459084544 |
j-invariant |
L |
6.114432367482 |
L(r)(E,1)/r! |
Ω |
0.055849546947883 |
Real period |
R |
0.99527662860371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486e1 |
Quadratic twists by: -4 |