Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720o |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
307773440000 = 217 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2785,-50817] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:80:1] [-23:40:1] |
Generators of the group modulo torsion |
j |
18232461938/2348125 |
j-invariant |
L |
8.356577831112 |
L(r)(E,1)/r! |
Ω |
0.66274903438244 |
Real period |
R |
1.576120333194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bi2 8840a2 |
Quadratic twists by: -4 8 |