Atkin-Lehner |
2- 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bp |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
133418709607680 = 28 · 32 · 5 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12805,-51577] |
[a1,a2,a3,a4,a6] |
j |
3211264/1845 |
j-invariant |
L |
2.926149628539 |
L(r)(E,1)/r! |
Ω |
0.48769179718277 |
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 |
120540b1 |
Quadratic twists by: -7 |