Atkin-Lehner |
2+ 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666a |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24111360 |
Modular degree for the optimal curve |
Δ |
-1.9253838913704E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -5 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54282972,155355463632] |
[a1,a2,a3,a4,a6] |
Generators |
[920562:7741535:216] |
Generators of the group modulo torsion |
j |
-21685416016130910121/236031798460416 |
j-invariant |
L |
2.711981685046 |
L(r)(E,1)/r! |
Ω |
0.10117071954153 |
Real period |
R |
6.7014984789114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666bm1 |
Quadratic twists by: 13 |