Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
7300f |
Isogeny class |
Conductor |
7300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1512 |
Modular degree for the optimal curve |
Δ |
730000 = 24 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 2 6 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,713] |
[a1,a2,a3,a4,a6] |
j |
43897600/73 |
j-invariant |
L |
2.8504064785775 |
L(r)(E,1)/r! |
Ω |
2.8504064785775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29200bc1 116800bg1 65700q1 7300a1 |
Quadratic twists by: -4 8 -3 5 |