Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cx |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-102532500000 = -1 · 25 · 33 · 57 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 0 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44136,-3572640] |
[a1,a2,a3,a4,a6] |
Generators |
[246:564:1] |
Generators of the group modulo torsion |
j |
-194047101462158161/2092500000 |
j-invariant |
L |
11.411785787633 |
L(r)(E,1)/r! |
Ω |
0.16469142375622 |
Real period |
R |
4.6194616685148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570by1 |
Quadratic twists by: -7 |