Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84966ec |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-7.8175731148857E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85261,-425511703] |
[a1,a2,a3,a4,a6] |
Generators |
[9272:887507:1] |
Generators of the group modulo torsion |
j |
-83521/95256 |
j-invariant |
L |
11.11694723299 |
L(r)(E,1)/r! |
Ω |
0.087190288299877 |
Real period |
R |
0.70834515151695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138t1 84966cs1 |
Quadratic twists by: -7 17 |