Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cy |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1.308220194816E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10348408,-12934304812] |
[a1,a2,a3,a4,a6] |
Generators |
[194389934:3158016000:50653] |
Generators of the group modulo torsion |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
6.8398404061821 |
L(r)(E,1)/r! |
Ω |
0.042060543935807 |
Real period |
R |
6.775788508407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2850d1 91200fz1 68400ej1 4560n1 |
Quadratic twists by: -4 8 -3 5 |