Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218a |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-542011392 = -1 · 212 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597,5877] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:99:1] |
Generators of the group modulo torsion |
j |
-5161849875/118784 |
j-invariant |
L |
4.5770255143801 |
L(r)(E,1)/r! |
Ω |
1.6418652493594 |
Real period |
R |
0.69692465811815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bn2 88218bj1 |
Quadratic twists by: -3 13 |