Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600dp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-36720000000 = -1 · 210 · 33 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,10863] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
-1755904/2295 |
j-invariant |
L |
9.1170802291768 |
L(r)(E,1)/r! |
Ω |
1.0439362360269 |
Real period |
R |
0.72778073905018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600gi1 5100g1 16320n1 |
Quadratic twists by: -4 8 5 |