Atkin-Lehner |
2- 3- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450cr |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
6888960 |
Modular degree for the optimal curve |
Δ |
1705063219200000000 = 226 · 34 · 58 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31629013,-68468861983] |
[a1,a2,a3,a4,a6] |
j |
8958196767262827877105/4364961841152 |
j-invariant |
L |
6.6208145527673 |
L(r)(E,1)/r! |
Ω |
0.0636616891056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450k1 |
Quadratic twists by: 5 |