Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bw |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-8456135609364581250 = -1 · 2 · 39 · 55 · 74 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,180270,-136696575] |
[a1,a2,a3,a4,a6] |
Generators |
[6894:201999:8] |
Generators of the group modulo torsion |
j |
269837172664860479/3521922369581250 |
j-invariant |
L |
9.0221290818319 |
L(r)(E,1)/r! |
Ω |
0.11399338691398 |
Real period |
R |
5.2764049600164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cu1 |
Quadratic twists by: -7 |