Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570by |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-12062846092500000 = -1 · 25 · 33 · 57 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2162665,1223252855] |
[a1,a2,a3,a4,a6] |
Generators |
[853:-182:1] |
Generators of the group modulo torsion |
j |
-194047101462158161/2092500000 |
j-invariant |
L |
8.8861380037543 |
L(r)(E,1)/r! |
Ω |
0.36349292485978 |
Real period |
R |
0.23282402479432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cx1 |
Quadratic twists by: -7 |