Atkin-Lehner |
2- 3- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
87792f |
Isogeny class |
Conductor |
87792 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-54992301981696 = -1 · 221 · 35 · 31 · 592 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -1 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190480,31936532] |
[a1,a2,a3,a4,a6] |
Generators |
[212:1062:1] |
Generators of the group modulo torsion |
j |
-186601096474719121/13425854976 |
j-invariant |
L |
9.0699222832693 |
L(r)(E,1)/r! |
Ω |
0.59820679296834 |
Real period |
R |
0.75809255181269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974g1 |
Quadratic twists by: -4 |