Atkin-Lehner |
2- 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642by |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-791221404735111168 = -1 · 218 · 39 · 7 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2558147,1576060355] |
[a1,a2,a3,a4,a6] |
Generators |
[891:-2318:1] [-1605:40114:1] |
Generators of the group modulo torsion |
j |
-2539642086020220847849/1085351721172992 |
j-invariant |
L |
13.336297767209 |
L(r)(E,1)/r! |
Ω |
0.27863605839592 |
Real period |
R |
0.13295218066745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214m1 |
Quadratic twists by: -3 |