Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dx |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
16209796869000000 = 26 · 39 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92757,-8983856] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1350:1] |
Generators of the group modulo torsion |
j |
16079333824/2953125 |
j-invariant |
L |
7.4390142222034 |
L(r)(E,1)/r! |
Ω |
0.2770310636122 |
Real period |
R |
1.118859819857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dz1 23520p1 10080bq1 |
Quadratic twists by: -4 -3 -7 |