Atkin-Lehner |
2+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952g |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6043326832084779008 = 229 · 172 · 794 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-840513,271712287] |
[a1,a2,a3,a4,a6] |
Generators |
[-694:22831:1] [699:5120:1] |
Generators of the group modulo torsion |
j |
250505699702316625/23053462341632 |
j-invariant |
L |
7.3547689824103 |
L(r)(E,1)/r! |
Ω |
0.23275104196672 |
Real period |
R |
3.949911953255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952p2 2686d2 |
Quadratic twists by: -4 8 |