Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205d |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49674240 |
Modular degree for the optimal curve |
Δ |
3.2655064223749E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1300122848,-18041242862294] |
[a1,a2,a3,a4,a6] |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
0.90512682650538 |
L(r)(E,1)/r! |
Ω |
0.025142413144104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205h1 1935c1 |
Quadratic twists by: -3 -43 |