Atkin-Lehner |
2- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550t |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
5040000 |
Modular degree for the optimal curve |
Δ |
-5.7411633152E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1960638,1563661892] |
[a1,a2,a3,a4,a6] |
Generators |
[796:22130:1] |
Generators of the group modulo torsion |
j |
-85352437753750825/58789512347648 |
j-invariant |
L |
9.7710554192305 |
L(r)(E,1)/r! |
Ω |
0.15079518990071 |
Real period |
R |
1.8513389726701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550l1 |
Quadratic twists by: 5 |