Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bq |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
55532304000000 = 210 · 38 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41475,3231250] |
[a1,a2,a3,a4,a6] |
Generators |
[35:1350:1] |
Generators of the group modulo torsion |
j |
676449508/4761 |
j-invariant |
L |
5.4577632562505 |
L(r)(E,1)/r! |
Ω |
0.6316864259018 |
Real period |
R |
1.0799985232969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41400bu2 27600y2 3312b2 |
Quadratic twists by: -4 -3 5 |