Atkin-Lehner |
2- 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450cf |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1019978308800 = 26 · 38 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3588,-67248] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:120:1] |
Generators of the group modulo torsion |
j |
204337733355625/40799132352 |
j-invariant |
L |
11.786491444029 |
L(r)(E,1)/r! |
Ω |
0.62547333315521 |
Real period |
R |
0.13086190972005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450q1 |
Quadratic twists by: 5 |