Atkin-Lehner |
2- 3- 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410bg |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-4.2591227117569E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4347527,3628705839] |
[a1,a2,a3,a4,a6] |
Generators |
[929:-20238:1] |
Generators of the group modulo torsion |
j |
-12465880336757410873129/584241798594907440 |
j-invariant |
L |
10.900845170655 |
L(r)(E,1)/r! |
Ω |
0.16598245926273 |
Real period |
R |
1.172762171794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28470b1 |
Quadratic twists by: -3 |