Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720b |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
480896000000000000 = 219 · 512 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363041,77422241] |
[a1,a2,a3,a4,a6] |
Generators |
[-6315:330112:27] |
Generators of the group modulo torsion |
j |
20186080966364041/1834472656250 |
j-invariant |
L |
9.356483480866 |
L(r)(E,1)/r! |
Ω |
0.28750282748033 |
Real period |
R |
8.1359925764356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720x2 2210b2 |
Quadratic twists by: -4 8 |