Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bl |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
4636800 |
Modular degree for the optimal curve |
Δ |
-2.6092629010086E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9140861,10919735749] |
[a1,a2,a3,a4,a6] |
Generators |
[-529:125192:1] |
Generators of the group modulo torsion |
j |
-400921744371182188137/12384898975268864 |
j-invariant |
L |
12.780938140367 |
L(r)(E,1)/r! |
Ω |
0.14355995942117 |
Real period |
R |
1.780571433968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358f1 57222bx1 |
Quadratic twists by: -3 17 |