Atkin-Lehner |
2- 3+ 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814z |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
206080 |
Modular degree for the optimal curve |
Δ |
-25231337599104 = -1 · 27 · 33 · 7 · 135 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7313,342913] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-680:1] |
Generators of the group modulo torsion |
j |
-1601736204159027/934493985152 |
j-invariant |
L |
9.776834673818 |
L(r)(E,1)/r! |
Ω |
0.62211273229993 |
Real period |
R |
0.11225382440166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86814d1 |
Quadratic twists by: -3 |