Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dz |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-442274184717926400 = -1 · 220 · 310 · 52 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8440,-32000812] |
[a1,a2,a3,a4,a6] |
Generators |
[596:-13230:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
7.6323148055885 |
L(r)(E,1)/r! |
Ω |
0.13513564484649 |
Real period |
R |
0.56478916530562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570d1 114240fu1 85680en1 |
Quadratic twists by: -4 8 -3 |