Atkin-Lehner |
3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817n |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
73472 |
Modular degree for the optimal curve |
Δ |
-5958369963 = -1 · 37 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -3 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,96,3728] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:191:8] [-12:31:1] |
Generators of the group modulo torsion |
j |
282300416/17371341 |
j-invariant |
L |
5.866905801554 |
L(r)(E,1)/r! |
Ω |
1.0252871563181 |
Real period |
R |
0.20436455168631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89817d1 |
Quadratic twists by: -7 |