Atkin-Lehner |
2+ 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450ba |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
17761075200 = 215 · 33 · 52 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-661,-1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
1274803549105/710443008 |
j-invariant |
L |
7.5965696983021 |
L(r)(E,1)/r! |
Ω |
1.0105395312167 |
Real period |
R |
2.505780162139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bv1 |
Quadratic twists by: 5 |