Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680be |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
455260572900000000 = 28 · 38 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18742503,31231242502] |
[a1,a2,a3,a4,a6] |
Generators |
[2582:7182:1] |
Generators of the group modulo torsion |
j |
3901566248250599880016/2439453515625 |
j-invariant |
L |
6.8488618079988 |
L(r)(E,1)/r! |
Ω |
0.24473865399871 |
Real period |
R |
3.4980486821226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840m2 28560ca2 |
Quadratic twists by: -4 -3 |