Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570z |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1025325000 = -1 · 23 · 33 · 55 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1734,-27968] |
[a1,a2,a3,a4,a6] |
Generators |
[64:320:1] |
Generators of the group modulo torsion |
j |
-11757495687721/20925000 |
j-invariant |
L |
4.9702081409155 |
L(r)(E,1)/r! |
Ω |
0.36990565403665 |
Real period |
R |
4.4788070387474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570h1 |
Quadratic twists by: -7 |