Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760da |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-169674750000 = -1 · 24 · 36 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2568,53867] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:322:1] |
Generators of the group modulo torsion |
j |
-160568836096/14546875 |
j-invariant |
L |
6.5821175371066 |
L(r)(E,1)/r! |
Ω |
0.9953138028108 |
Real period |
R |
3.306553938534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23940n1 10640u1 |
Quadratic twists by: -4 -3 |