Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bn |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-395126304768 = -1 · 212 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5375,-153305] |
[a1,a2,a3,a4,a6] |
Generators |
[91:278:1] |
Generators of the group modulo torsion |
j |
-5161849875/118784 |
j-invariant |
L |
11.257685381714 |
L(r)(E,1)/r! |
Ω |
0.27841342056967 |
Real period |
R |
1.684797459918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218a1 88218h2 |
Quadratic twists by: -3 13 |