Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bl |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5781524070400000000 = -1 · 220 · 58 · 132 · 174 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,389592,-67860812] |
[a1,a2,a3,a4,a6] |
Generators |
[748:25350:1] |
Generators of the group modulo torsion |
j |
102181603702751/90336313600 |
j-invariant |
L |
3.657256887674 |
L(r)(E,1)/r! |
Ω |
0.13190636394747 |
Real period |
R |
3.4657699404372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050f2 17680h2 |
Quadratic twists by: -4 5 |