Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632z |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
318976 |
Modular degree for the optimal curve |
Δ |
-310494211069952 = -1 · 211 · 79 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -1 0 7- -1 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88608,10217068] |
[a1,a2,a3,a4,a6] |
Generators |
[229:1372:1] |
Generators of the group modulo torsion |
j |
-930968750/3757 |
j-invariant |
L |
4.7956826770927 |
L(r)(E,1)/r! |
Ω |
0.54699713289752 |
Real period |
R |
2.191822584008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86632p1 |
Quadratic twists by: -7 |