Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008x |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-141674245751808 = -1 · 210 · 313 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1288,572516] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3402:1] |
Generators of the group modulo torsion |
j |
-230944958500/138353755617 |
j-invariant |
L |
9.8123724697898 |
L(r)(E,1)/r! |
Ω |
0.47044383327812 |
Real period |
R |
0.2674063049081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504a1 |
Quadratic twists by: -4 |