Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eh |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-153180979200 = -1 · 214 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1005,14290] |
[a1,a2,a3,a4,a6] |
Generators |
[71:666:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
7.6035134352332 |
L(r)(E,1)/r! |
Ω |
0.69299187785255 |
Real period |
R |
2.7430023633931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550m1 22800cw1 68400fz1 |
Quadratic twists by: -4 -3 5 |