Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56800r |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-355000000000000 = -1 · 212 · 513 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9533,971563] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1100:1] |
Generators of the group modulo torsion |
j |
-1497193984/5546875 |
j-invariant |
L |
4.6161028536307 |
L(r)(E,1)/r! |
Ω |
0.47069080986886 |
Real period |
R |
2.4517702262394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56800b1 113600bf1 11360f1 |
Quadratic twists by: -4 8 5 |