Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bo |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-52127712 = -1 · 25 · 34 · 7 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62,-421] |
[a1,a2,a3,a4,a6] |
Generators |
[21:79:1] |
Generators of the group modulo torsion |
j |
-156116857/308448 |
j-invariant |
L |
10.860983384147 |
L(r)(E,1)/r! |
Ω |
0.79962734902446 |
Real period |
R |
1.3582556210324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666c1 |
Quadratic twists by: 13 |