Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701p |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
159936 |
Modular degree for the optimal curve |
Δ |
-51451696350747 = -1 · 37 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11+ -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18293,1006835] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1543:1] |
Generators of the group modulo torsion |
j |
-16777216000/1275021 |
j-invariant |
L |
5.6141316427694 |
L(r)(E,1)/r! |
Ω |
0.62051027809148 |
Real period |
R |
0.64625747031876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701a1 |
Quadratic twists by: -7 |