Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540w |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
2722830808320 = 28 · 32 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10061,-383601] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:90:1] |
Generators of the group modulo torsion |
j |
76324864/1845 |
j-invariant |
L |
6.9236878105423 |
L(r)(E,1)/r! |
Ω |
0.47739232019858 |
Real period |
R |
2.4171900400857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540s1 |
Quadratic twists by: -7 |