Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8540a |
Isogeny class |
Conductor |
8540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
2732800 = 28 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] [-2:10:1] |
Generators of the group modulo torsion |
j |
20720464/10675 |
j-invariant |
L |
4.5456238772787 |
L(r)(E,1)/r! |
Ω |
2.250497531449 |
Real period |
R |
0.33663844059348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160s1 76860f1 42700i1 59780p1 |
Quadratic twists by: -4 -3 5 -7 |