Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696cb |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20348928 |
Modular degree for the optimal curve |
Δ |
2.4019126956755E+24 |
Discriminant |
Eigenvalues |
2- 2 2 -3 -3 13- 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184498977,961756901057] |
[a1,a2,a3,a4,a6] |
Generators |
[21143:2551848:1] |
Generators of the group modulo torsion |
j |
2649510713007509894907337/9162569792463306752 |
j-invariant |
L |
10.189684400735 |
L(r)(E,1)/r! |
Ω |
0.081982678997512 |
Real period |
R |
6.9050387755051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696be1 21424h1 |
Quadratic twists by: -4 8 |