Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bb |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
6822144 |
Modular degree for the optimal curve |
Δ |
-1.982658736904E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46910433,-123851978759] |
[a1,a2,a3,a4,a6] |
Generators |
[11423:911493:1] |
Generators of the group modulo torsion |
j |
-978778736918445588411136/1699810302558328191 |
j-invariant |
L |
4.4254904956934 |
L(r)(E,1)/r! |
Ω |
0.02884077954304 |
Real period |
R |
0.71039625965894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644m1 |
Quadratic twists by: -3 |