Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700bb |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-15184416000 = -1 · 28 · 3 · 53 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668,-9132] |
[a1,a2,a3,a4,a6] |
Generators |
[5667:426642:1] |
Generators of the group modulo torsion |
j |
-1031699216/474513 |
j-invariant |
L |
7.9417321111454 |
L(r)(E,1)/r! |
Ω |
0.45931213625562 |
Real period |
R |
8.6452452349179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89700n1 |
Quadratic twists by: 5 |