Atkin-Lehner |
5+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120785a |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1288224 |
Modular degree for the optimal curve |
Δ |
145892569437677125 = 53 · 710 · 173 · 292 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-219291,-34920789] |
[a1,a2,a3,a4,a6] |
j |
4128646660096/516479125 |
j-invariant |
L |
0.44486476642359 |
L(r)(E,1)/r! |
Ω |
0.22243232743438 |
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 |
120785h1 |
Quadratic twists by: -7 |